id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
|---|---|---|---|---|---|---|
hep-th/9301023 | Reflection equation and link polynomials for arbitrary genus solid tori | The correspondence between the braid group on a solid torus of arbitrary
genus and the algebra of Yang-Baxter and reflection equation operators is
shown. A representation of this braid group in terms of $R$-matrices is given.
The characteristic equation of the reflection equation matrix is considered as
an additional s... | 1993-01-08 | 2008-02-03 | [
"hep-th",
"math.QA"
] | C. Schwiebert |
hep-th/9301021 | Positive Energy Theorem and Supersymmetry in Exactly Solvable
Quantum-Corrected 2D Dilaton-Gravity | Extending the work of Park and Strominger, we prove a positive energy theorem
for the exactly solvable quantum-corrected 2D dilaton gravity theories. The
positive energy functional we construct is shown to be unique (within a
reasonably broad class of such functionals). For field configurations
asymptotic to the LDV we... | 1993-01-07 | 2009-10-22 | [
"hep-th",
"gr-qc"
] | Adel Bilal |
hep-th/9301020 | On the Mass of Two Dimensional Quantum Black Hole | For the two dimensional dilaton-coupled quantum gravity model, we give the
local black hole mass, which is an analogue of what was first introduced by
Fischler, Morgan and Polchinski in the four dimensional gravitational systems.
We analyze the original CGHS model with this local mass and find that the local
mass is de... | 1993-01-07 | 2011-04-20 | [
"hep-th"
] | Tsukasa TADA and Shozo UEHARA |
hep-th/9301019 | Gauge Theory of the String Geodesic Field | A relativistic string is usually represented by the Nambu-Goto action in
terms of the extremal area of a 2-dimensional timelike submanifold of Minkowski
space. Alternatively, a family of classical solutions of the string equation of
motion can be globally described in terms of the associated geodesic field. In
this pap... | 1993-01-07 | 2009-10-22 | [
"hep-th"
] | A.Aurilia, A.Smailagic, E.Spallucci |
hep-th/9301018 | Characters in Conformal Field Theories from Thermodynamic Bethe Ansatz | We propose a new $q$-series formula for a character of parafermion conformal
field theories associated to arbitrary non-twisted affine Lie algebra
$\widehat{g}$. We show its natural origin from a thermodynamic Bethe ansatz
analysis including chemical potentials. | 1993-01-07 | 2009-10-22 | [
"hep-th"
] | A.Kuniba, T.Nakanishi and J.Suzuki |
hep-th/9301016 | Modular Invariant Partition Functions and Method of Shift Vector | Using shift vector method we obtain a large class of self-dual lattices of
dimension $(l,l)$, which has a one to one correspondence with modular
invariants of free bosonic theory compactified on co-root lattice of a rank $l$
Lie group. Then a large number of modular invariants of affine Lie algebras are
derived explici... | 1993-01-06 | 2009-10-22 | [
"hep-th"
] | H.Arfaei and A.Shirzad |
hep-th/9301017 | Nonperturbative Solution of the Super-Virasoro Constraints | We present the solution of the discrete super-Virasoro constraints to all
orders of the genus expansion. Integrating over the fermionic variables we get
a representation of the partition function in terms of the one-matrix model. We
also obtain the nonperturbative solution of the super-Virasoro constraints in
the doubl... | 1993-01-06 | 2015-06-26 | [
"hep-th"
] | K. Becker and M. Becker |
hep-th/9301015 | Effective action of gauged WZW model and exact string solutions | We suggest how to derive the exact (all order in $\a'$) expressions for the
background fields for string solutions corresponding to gauged WZW models
directly at the $2d$ field theory level. One is first to replace the classical
gauged WZW action by the quantum effective one and then to integrate out the
gauge field. W... | 1993-01-06 | 2009-09-17 | [
"hep-th"
] | A.A. Tseytlin |
hep-th/9301012 | A Solvable Model for Intersecting Loops | We show that some models with non-local (and non-localizable) interactions
have a property, called quasi-locality, which allows for the definition of a
transfer matrix. We give the Yang-Baxter equation as a sufficient condition for
the existence of a family of commuting transfer matrices and solve them for a
loop model... | 1993-01-05 | 2007-05-23 | [
"hep-th"
] | Bernard Nienhuis and Ronald Rietman |
hep-th/9301006 | Light-cone approach to random surfaces embedded in two dimensions | We review the recently proposed \lc\ quantization of the matrix model which
is expected to have a critical point describing 2-d quantum gravity coupled to
$c=2$ matter. In the $N\to\infty$ limit, we derive a linear Schroedinger
equation for the free string spectrum. Numerical study of this equation
suggests that the sp... | 1993-01-05 | 2007-05-23 | [
"hep-th"
] | K. Demeterfi and I. R. Klebanov |
hep-th/9301014 | Solitons and Instantons with(out) Supersymmetry | We give model-independent arguments, valid in nearly any number of spacetime
dimensions, that topological solitons and instantons satisfy Bogomol'nyi-type
bounds and, when these bounds are saturated, satisfy self-duality equations. In
the supersymmetric case, we also show that, in spacetime dimensions greater
than two,... | 1993-01-05 | 2009-10-22 | [
"hep-th",
"hep-ph"
] | Zvonimir Hlousek and Donald Spector |
hep-th/9301008 | A Simple Method for Computing Soliton Statistics | I provide an extremely simple argument that the kink-type solitons in certain
theories are fermionic. The argument is based on the Witten index, but can in
fact be used to determine soliton statistics in non-supersymmetric theories as
well. | 1993-01-05 | 2009-10-22 | [
"hep-th",
"cond-mat",
"hep-ph"
] | Donald Spector |
hep-th/9301009 | Vertex operator algebras and operads | Vertex operator algebras are mathematically rigorous objects corresponding to
chiral algebras in conformal field theory. Operads are mathematical devices to
describe operations, that is, $n$-ary operations for all $n$ greater than or
equal to $0$, not just binary products. In this paper, a reformulation of the
notion o... | 1993-01-05 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Yi-Zhi Huang and James Lepowsky |
hep-th/9301013 | Fermionic Determinant of the Massive Schwinger Model | A representation for the fermionic determinant of the massive Schwinger
model, or $QED_2$, is obtained that makes a clean separation between the
Schwinger model and its massive counterpart. From this it is shown that the
index theorem for $QED_2$ follows from gauge invariance, that the Schwinger
model's contribution to... | 1993-01-05 | 2009-10-22 | [
"hep-th"
] | M. P. Fry |
hep-th/9301011 | Characteristic Dynkin diagrams and W-algebras | We present a classification of characteristic Dynkin diagrams for the $A_N$,
$B_N$, $C_N$ and $D_N$ algebras. This classification is related to the
classification of \cw(\cg,\ck) algebras arising from non-Abelian Toda models,
and we argue that it can give new insight on the structure of $W$ algebras. | 1993-01-05 | 2009-10-22 | [
"hep-th",
"math.QA"
] | E. Ragoucy |
hep-th/9301010 | A New $N = 4$ Superconformal Algebra | It is shown that the previously known $N=3$ and $N=4$ superconformal algebras
can be contracted consistently by singular scaling of some of the generators.
For the later case, by a contraction which depends on the central term, we
obtain a new $N=4$ superconformal algebra which contains an $SU(2)\times
{U(1)}^4$ Kac-Mo... | 1993-01-04 | 2015-06-26 | [
"hep-th"
] | Abbas Ali and Alok Kumar |
hep-th/9301004 | Large Order Behaviour of 2D Gravity Coupled to $d<1$ Matter | We discuss the large order behaviour and Borel summability of the topological
expansion of models of 2D gravity coupled to general $(p,q)$ conformal matter.
In a previous work it was proven that at large order $k$ the string
susceptibility had a generic $a^k\Gamma(2k-\ud)$ behaviour. Moreover the
constant $a$, relevant... | 1993-01-04 | 2010-11-01 | [
"hep-th"
] | B. Eynard and J. Zinn-Justin |
hep-th/9301005 | Duality, Marginal Perturbations and Gauging | We study duality transformations for two-dimensional sigma models with
abelian chiral isometries and prove that generic such transformations are
equivalent to integrated marginal perturbations by bilinears in the chiral
currents, thus confirming a recent conjecture by Hassan and Sen formulated in
the context of Wess-Zu... | 1993-01-04 | 2008-11-26 | [
"hep-th"
] | M{\aa}ns Henningson and Chiara R. Nappi |
hep-th/9301007 | Integrability and Fusion Algebra for Quantum Mappings | We apply the fusion procedure to a quantum Yang-Baxter algebra associated
with time-discrete integrable systems, notably integrable quantum mappings. We
present a general construction of higher-order quantum invariants for these
systems. As an important class of examples, we present the Yang-Baxter
structure of the Gel... | 1993-01-04 | 2009-10-22 | [
"hep-th"
] | F.W. Nijhoff and H.W. Capel |
hep-th/9301003 | Summing Over Inequivalent Maps in the String Theory Interpretation of
Two Dimensional QCD | Following some recent work by Gross, we consider the partition function for
QCD on a two dimensional torus and study its stringiness. We present strong
evidence that the free energy corresponds to a sum over branched surfaces with
small handles mapped into the target space. The sum is modded out by all
diffeomorphisms ... | 1993-01-02 | 2009-10-22 | [
"hep-th"
] | Joseph A. Minahan |
hep-th/9301002 | Scaling behavior of quantum four-geometries | We propose that large quantum fluctuations of the conformal factor
drastically modify classical general relativity at cosmological distance
scales, resulting in a scale invariant phase of quantum gravity in the far
infrared. We derive scaling relations for the partition function and physical
observables in this conform... | 1993-01-02 | 2009-10-22 | [
"hep-th",
"gr-qc"
] | I. Antoniadis, P.O. Mazur and E. Mottola |
hep-th/9301001 | Gonihedric String and Asymptotic Freedom | Few natural basic principles allow to extend Feynman integral over the paths
to an integral over the surfaces so, that they coincide at long time scale,
that is when the surface degenerates into a single particle world line. In the
first approximation the loop Green functions have perimeter behavior. That
corresponds t... | 1993-01-01 | 2015-06-26 | [
"hep-th"
] | G.K.Savvidy and K.G.Savvidy |
math/9307225 | A counterexample to the rigidity conjecture for rings | An example is constructed of a local ring and a module of finite type and
finite projective dimension over that ring such that the module is not rigid.
This shows that the rigidity conjecture is false. | 1993-07-01 | 2008-02-03 | [
"math.AC"
] | Raymond C. Heitmann |
math/9304212 | Zariski Geometries | We characterize the Zariski topologies over an algebraically closed field in
terms of general dimension-theoretic properties. Some applications are given to
complex manifold and to strongly minimal sets. | 1993-04-01 | 2016-09-06 | [
"math.AG"
] | Ehud Hrushovski, Boris Zilber |
math/9301213 | Relative $K$-cycles and elliptic boundary conditions | In this paper, we discuss the following conjecture raised by Baum-Douglas:
For any first-order elliptic differential operator $D$ on smooth manifold $M$
with boundary $\p M$, $D$ possesses an elliptic boundary condition if and only
if $\partial [D]$ = 0 in $K_1(\partial M)$, where $[D]$ is the relative
$K$-cycle in $K_... | 1993-01-01 | 2008-02-03 | [
"math.AP",
"math.DG",
"math.KT"
] | Guihua Gong |
math/9301218 | A new result for the porous medium equation derived from the Ricci flow | Given $\Bbb R^2, $ with a ``good'' complete metric, we show that the unique
solution of the Ricci flow approaches a soliton at time infinity. Solitons are
solutions of the Ricci flow, which move only by diffeomorphism. The Ricci flow
on $\Bbb R^2$ is the limiting case of the porous medium equation when $m$ is
zero. The... | 1993-01-01 | 2008-02-03 | [
"math.AP"
] | Lang-Fang Wu |
math/9310228 | Intersecting families of sets and the topology of cones in economics | Two classical problems in economics, the existence of a market equilibrium
and the existence of social choice functions, are formalized here by the
properties of a family of cones associated with the economy. It was recently
established that a necessary and sufficient condition for solving the former is
the nonempty in... | 1993-10-01 | 2016-09-06 | [
"math.AT",
"math.OC"
] | Graciela Chichilnisky |
math/9312211 | Watson's basic analogue of Ramanujan's entry 40 and its generalization | We generalize Watson's $ q $-analogue of Ramanujan's Entry 40 continued
fraction by deriving solutions to a $ {}_{10} \phi_9 $ series contiguous
relation and applying Pincherle's theorem. Watson's result is recovered as a
special terminating case, while a limit case yields a new continued fraction
associated with an $ ... | 1993-12-29 | 2008-02-03 | [
"math.CA"
] | Dharma P. Gupta, David R. Masson |
math/9312210 | Solutions to the associated q-Askey-Wilson polynomial recurrence
relation | A $\tphin$ contiguous relation is used to derive contiguous relations for a
very-well-poised $\ephis$. These in turn yield solutions to the associated
$q$-Askey-Wilson polynomial recurrence relation, expressions for the associated
continued fraction, the weight function and a $q$-analogue of a generalized
Dougall's the... | 1993-12-29 | 2016-09-06 | [
"math.CA"
] | Dharma P. Gupta, David R. Masson |
math/9311210 | From Schr\"odinger spectra to orthogonal polynomials, via a functional
equation | The main difference between certain spectral problems for linear
Schr\"odinger operators, e.g. the almost Mathieu equation, and three-term
recurrence relations for orthogonal polynomials is that in the former the index
ranges across $\ZZ$ and in the latter only across $\Zp$. We present a technique
that, by a mixture of... | 1993-11-17 | 2016-09-06 | [
"math.CA"
] | Arieh Iserles |
math/9311209 | Some basic bilateral sums and integrals | By splitting the real line into intervals of unit length a doubly infinite
integral of the form $\Int F(q^x)\,dx,\; 0<q<1$, can clearly be expressed as
$\Integ \Sum F(q^{x+n})\,dx$, provided $F$ satisfies the appropriate
conditions. This simple idea is used to prove Ramanujan's integral analogues of
his \ph{1}{1} sum a... | 1993-11-01 | 2016-09-06 | [
"math.CA"
] | Mourad E. H. Ismail, Mizan Rahman |
math/9310223 | Asymptotic approximations for symmetric elliptic integrals | Symmetric elliptic integrals, which have been used as replacements for
Legendre's integrals in recent integral tables and computer codes, are
homogeneous functions of three or four variables. When some of the variables
are much larger than the others, asymptotic approximations with error bounds
are presented. In most c... | 1993-10-07 | 2016-09-06 | [
"math.CA"
] | Bille C. Carlson, John L. Gustafson |
math/9310221 | Diagonalization of certain integral operators II | We establish an integral representations of a right inverses of the
Askey-Wilson finite difference operator in an $L^2$ space weighted by the
weight function of the continuous $q$-Jacobi polynomials. We characterize the
eigenvalues of this integral operator and prove a $q$-analog of the expansion
of $e^{ixy}$ in Jacobi... | 1993-10-05 | 2016-09-06 | [
"math.CA"
] | Mourad E. H. Ismail, Mizan Rahman, Ruiming Zhang |
math/9310222 | Moments of Dirichlet splines and their applications to hypergeometric functions | Dirichlet averages of multivariate functions are employed for a derivation of basic recurrence formulas for the moments of multivariate Dirichlet splines. An algorithm for computing the moments of multivariate simplex splines is presented. Applications to hypergeometric functions of several variables are discussed. | 1993-10-05 | 2025-10-20 | [
"math.CA",
"cs.NA",
"math.NA"
] | Edward Neuman, Patrick J. Van Fleet |
math/9310219 | A right inverse of the Askey-Wilson operator | We establish an integral representation of a right inverse of the
Askey-Wilson finite difference operator on $L^2$ with weight $(1-x^2)^{-1/2}$.
The kernel of this integral operator is $\vartheta'_4/\vartheta_4$ and is the
Riemann mapping function that maps the open unit disc conformally onto the
interior of an ellipse... | 1993-10-05 | 2009-09-25 | [
"math.CA"
] | B. Malcolm Brown, Mourad E. H. Ismail |
math/9310220 | Orthogonal matrix polynomials and higher order recurrence relations | It is well-known that orthogonal polynomials on the real line satisfy a
three-term recurrence relation and conversely every system of polynomials
satisfying a three-term recurrence relation is orthogonal with respect to some
positive Borel measure on the real line. In this paper we extend this result
and show that ever... | 1993-10-05 | 2016-09-06 | [
"math.CA"
] | Antonio J. Dur\'an, Walter Van Assche |
math/9309213 | Uniform multi-parameter limit transitions in the Askey tableau | Extended abstract for the Proceedings of the Conference ``Modern developments
in complex analysis and related topics'' (on the occasion of the 70th birthday
of prof.\ dr.\ J. Korevaar), University of Amsterdam, January 27--29, 1993. | 1993-09-28 | 2016-09-06 | [
"math.CA"
] | Tom H. Koornwinder |
math/9308209 | Astrophysical thermonuclear functions | Stars are gravitationally stabilized fusion reactors changing their chemical
composition while transforming light atomic nuclei into heavy ones. The atomic
nuclei are supposed to be in thermal equilibrium with the ambient plasma. The
majority of reactions among nuclei leading to a nuclear transformation are
inhibited b... | 1993-08-23 | 2016-09-06 | [
"math.CA",
"astro-ph"
] | William J. Anderson, Hans J. Haubold, Arak Mathai Mathai |
math/9307224 | Generalized Hermite polynomials and the Bose-like oscillator calculus | This paper studies a suitably normalized set of generalized Hermite
polynomials and sets down a relevant Mehler formula, Rodrigues formula, and
generalized translation operator. Weighted generalized Hermite polynomials are
the eigenfunctions of a generalized Fourier transform which satisfies an F. and
M. Riesz theorem ... | 1993-07-25 | 2016-09-06 | [
"math.CA"
] | Marvin Rosenblum |
math/9307223 | Gauss-type quadrature rules for rational functions | When integrating functions that have poles outside the interval of integration, but are regular otherwise, it is suggested that the quadrature rule in question ought to integrate exactly not only polynomials (if any), but also suitable rational functions. The latter are to be chosen so as to match the most important po... | 1993-07-20 | 2025-10-20 | [
"math.CA",
"cs.NA",
"math.NA"
] | Walter Gautschi |
math/9307222 | Applications of generalized special functions in stellar astrophysics | This article gives an brief outline of the applications of generalized
special functions such as generalized hypergeometric functions, G-functions and
H-functions into the general area of nuclear energy generation and reaction
rate theory such as the energy generation in a simple stellar model and nuclear
reaction rate... | 1993-07-14 | 2016-09-06 | [
"math.CA",
"astro-ph"
] | Hans J. Haubold, Arak Mathai Mathai |
math/9307206 | The q-harmonic oscillator and an analog of the Charlier polynomials | A model of a q-harmonic oscillator based on q-Charlier polynomials of
Al-Salam and Carlitz is discussed. Simple explicit realization of q-creation
and q-annihilation operators, q-coherent states and an analog of the Fourier
transformation are found. A connection of the kernel of this transform with
biorthogonal rationa... | 1993-07-09 | 2009-10-22 | [
"math.CA",
"math.QA"
] | Richard A. Askey, Serge\u{\i} K. Suslov |
math/9307220 | The impact of Stieltjes' work on continued fractions and orthogonal
polynomials | Stieltjes' work on continued fractions and the orthogonal polynomials related
to continued fraction expansions is summarized and an attempt is made to
describe the influence of Stieltjes' ideas and work in research done after his
death, with an emphasis on the theory of orthogonal polynomials. | 1993-07-09 | 2013-10-16 | [
"math.CA"
] | Walter Van Assche |
math/9307212 | Algorithm xxx --- ORTHPOL: A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules | A collection of subroutines and examples of their uses, as well as the underlying numerical methods, are described for generating orthogonal polynomials relative to arbitrary weight functions. The object of these routines is to produce the coefficients in the three-term recurrence relation satisfied by the orthogonal p... | 1993-07-09 | 2025-10-20 | [
"math.CA",
"cs.NA",
"math.NA"
] | Walter Gautschi |
math/9307213 | Some integrals involving Bessel functions | A number of new definite integrals involving Bessel functions are presented.
These have been derived by finding new integral representations for the product
of two Bessel functions of different order and argument in terms of the
generalized hypergeometric function with subsequent reduction to special cases.
Connection ... | 1993-07-09 | 2016-09-06 | [
"math.CA"
] | M. Lawrence Glasser, Emilio Montaldi |
math/9307214 | Computational aspects of the gravitational instability problem for a
multicomponent cosmological medium | The paper presents results for deriving closed-form analytic solutions of the
evolution of inhomogeneities in a homogeneous spatially flat multicomponent
cosmological model. Mathematical methods to derive computable forms of the
perturbations are outlined. | 1993-07-09 | 2016-09-06 | [
"math.CA",
"astro-ph"
] | Hans J. Haubold, Arak Mathai Mathai |
math/9307218 | Painlev\'e-type differential equations for the recurrence coefficients
of semi-classical orthogonal polynomials. | Recurrence coefficients of semi-classical orthogonal polynomials (orthogonal
polynomials related to a weight function $w$ such that $w'/w$ is a rational
function) are shown to be solutions of non linear differential equations with
respect to a well-chosen parameter, according to principles established by D.
G. Chudnovs... | 1993-07-09 | 2016-09-06 | [
"math.CA"
] | Alphonse P. Magnus |
math/9307209 | A high-school algebra wallet-sized proof, of the Bieberbach conjecture
After L. Weinstein] | Weinstein's[2] brilliant short proof of de Branges'[1] theorem can be made
yet much shorter(modulo routine calculations), completely elementary (modulo
L\"owner theory), self contained(no need for the esoteric Legendre polynomials'
addition theorem), and motivated(ditto), as follows. | 1993-07-09 | 2016-09-06 | [
"math.CA"
] | Shalosh B. Ekhad, Doron Zeilberger |
math/9307208 | The combinatorics of q-Charlier polynomials | We describe various aspects of the Al-Salam-Carlitz $q$-Charlier polynomials.
These include combinatorial descriptions of the moments, the orthogonality
relation, and the linearization coefficients. | 1993-07-09 | 2016-09-06 | [
"math.CA",
"math.CO"
] | Anne de M\'edicis, Dennis W. Stanton, Dennis E. White |
math/9307210 | Using sums of squares to prove that certain entire functions have only
real zeros | It is shown how sums of squares of real valued functions can be used to give
new proofs of the reality of the zeros of the Bessel functions $J_\alpha (z)$
when $\alpha \ge -1,$ confluent hypergeometric functions ${}_0F_1(c\/; z)$ when
$c>0$ or $0>c>-1$, Laguerre polynomials $L_n^\alpha(z)$ when $\alpha \ge -2,$
and Jac... | 1993-07-09 | 2016-09-06 | [
"math.CA"
] | George Gasper Jr |
math/9307221 | Quadrature formulas based on rational interpolation | We consider quadrature formulas based on interpolation using the basis functions $1/(1+t_kx)$ $(k=1,2,3,\ldots)$ on $[-1,1]$, where $t_k$ are parameters on the interval $(-1,1)$. We investigate two types of quadratures: quadrature formulas of maximum accuracy which correctly integrate as many basis functions as possibl... | 1993-07-09 | 2025-10-20 | [
"math.CA",
"cs.NA",
"math.NA"
] | Walter Van Assche, Ingrid Vanherwegen |
math/9307215 | Polynomial interpolation and Gaussian quadrature for matrix valued functions | The techniques for polynomial interpolation and Gaussian quadrature are generalized to matrix-valued functions. It is shown how the zeros and rootvectors of matrix orthonormal polynomials can be used to get a quadrature formula with the highest degree of precision. | 1993-07-09 | 2025-10-20 | [
"math.CA",
"cs.NA",
"math.NA"
] | Walter Van Assche, Ann Sinap |
math/9307207 | The q-harmonic oscillator and the Al-Salam and Carlitz polynomials | One more model of a q-harmonic oscillator based on the q-orthogonal
polynomials of Al-Salam and Carlitz is discussed. The explicit form of
q-creation and q-annihilation operators, q-coherent states and an analog of the
Fourier transformation are established. A connection of the kernel of this
transform with a family of... | 1993-07-09 | 2016-09-06 | [
"math.CA",
"math.QA"
] | Richard A. Askey, Serge\u{\i} K. Suslov |
math/9307211 | On necessary multiplier conditions for Laguerre expansions | The necessary multiplier conditions for Laguerre expansions derived in Gasper
and Trebels \cite{laguerre} are supplemented and modified. This allows us to
place Markett's Cohen type inequality \cite{cohen} (up to the $\log $--case) in
the general framework of necessary conditions. | 1993-07-09 | 2016-09-06 | [
"math.CA"
] | George Gasper Jr, Walter Trebels |
math/9307216 | Jacobi polynomials of type BC, Jack polynomials, limit transitions and
O(\infty) | This is an extended abstract of a lecture held at the Conference ``Fourier
and Radon transformations on symmetric spaces'' in honor of Professor S.
Helgason's 65th birthday, Roskilde, Denmark, Sept. 10--12, 1992. | 1993-07-09 | 2008-02-03 | [
"math.CA"
] | Tom H. Koornwinder |
math/9307205 | An analog of the Fourier transformation for a q-harmonic oscillator | A q-version of the Fourier transformation and some of its properties are
discussed. | 1993-07-09 | 2009-09-25 | [
"math.CA",
"math.QA"
] | Richard A. Askey, Natig M. Atakishiyev, Serge\u{\i} K. Suslov |
math/9307219 | Specializations of generalized Laguerre polynomials | Three specializations of a set of orthogonal polynomials with ``8 different
q's'' are given. The polynomials are identified as $q$-analogues of Laguerre
polynomials, and the combinatorial interpretation of the moments give
infinitely many new Mahonian statistics on permutations. | 1993-07-09 | 2009-09-25 | [
"math.CA",
"math.CO"
] | Rodica Simion, Dennis W. Stanton |
math/9307217 | Some results on co-recursive associated Laguerre and Jacobi polynomials | We present results on co-recursive associated Laguerre and Jacobi polynomials
which are of interest for the solution of the Chapman-Kolmogorov equations of
some birth and death processes with or without absorption. Explicit forms,
generating functions, and absolutely continuous part of the spectral measures
are given. ... | 1993-07-09 | 2016-09-06 | [
"math.CA"
] | Jean Letessier |
math/9307204 | Associated Stieltjes-Carlitz polynomials and a generalization of Heun's
differential equation. | The generating function of Stieltjes-Carlitz polynomials is a solution of
Heun's differential equation and using this relation Carlitz was the first to
get exact closed forms for some Heun functions. Similarly the associated
Stieltjes-Carlitz polynomials lead to a new differential equation which we call
associated Heun... | 1993-07-08 | 2016-09-06 | [
"math.CA"
] | Galliano Valent |
math/9307203 | On weighted transplantation and multipliers for Laguerre expansions | Using the standard square--function method (based on the Poisson semigroup),
multiplier conditions of H\"ormander type are derived for Laguerre expansions
in $L^p$--spaces with power weights in the $A_p$-range; this result can be
interpreted as an ``upper end point'' multiplier criterion which is fairly good
for $p$ ne... | 1993-07-08 | 2016-09-06 | [
"math.CA"
] | Krzysztof Stempak, Walter Trebels |
math/9301217 | Best uniform rational approximation of $x^\alpha$ on $[0,1]$ | A strong error estimate for the uniform rational approximation of $x^\alpha$
on $[0,1]$ is given, and its proof is sketched. Let $E_{nn}(x^\alpha,[0,1])$
denote the minimal approximation error in the uniform norm. Then it is shown
that $$\lim_{n\to\infty}e^{2\pi\sqrt{\alpha n}}E_{nn}(x^\alpha,[0,1]) =
4^{1+\alpha}|\sin... | 1993-01-01 | 2008-02-03 | [
"math.CA"
] | Herbert Stahl |
math/9301215 | Singularities of the Radon transform | Singularities of the Radon transform of a piecewise smooth function $f(x)$,
$x\in R^n$, $n\geq 2$, are calculated. If the singularities of the Radon
transform are known, then the equations of the surfaces of discontinuity of
$f(x)$ are calculated by applying the Legendre transform to the functions,
which appear in the ... | 1993-01-01 | 2008-02-03 | [
"math.CA"
] | Alexander G. Ramm, Alexander I. Zaslavsky |
math/9312214 | The sandwich theorem | This report contains expository notes about a function $\vartheta(G)$ that is
popularly known as the Lov\'asz number of a graph~$G$. There are many ways to
define $\vartheta(G)$, and the surprising variety of different
characterizations indicates in itself that $\vartheta(G)$ should be
interesting. But the most interes... | 1993-12-06 | 2008-02-03 | [
"math.CO"
] | Donald E. Knuth |
math/9310232 | The Dinitz problem solved for rectangles | The Dinitz conjecture states that, for each $n$ and for every collection of
$n$-element sets $S_{ij}$, an $n\times n$ partial latin square can be found
with the $(i,j)$\<th entry taken from $S_{ij}$. The analogous statement for
$(n-1)\times n$ rectangles is proven here. The proof uses a recent result by
Alon and Tarsi ... | 1993-10-01 | 2009-09-25 | [
"math.CO"
] | Jeannette C. M. Janssen |
math/9310227 | A linear construction for certain Kerdock and Preparata codes | The Nordstrom-Robinson, Kerdock, and (slightly modified) Pre\- parata codes
are shown to be linear over $\ZZ_4$, the integers $\bmod~4$. The Kerdock and
Preparata codes are duals over $\ZZ_4$, and the Nordstrom-Robinson code is
self-dual. All these codes are just extended cyclic codes over $\ZZ_4$. This
provides a simp... | 1993-10-01 | 2009-09-25 | [
"math.CO",
"cs.IT",
"math.IT"
] | A. R. Calderbank, A. Roger Hammons Jr., P. Vijay Kumar, N. J. A.
Sloane, Patrick Sol\'e |
math/9309212 | Combinatorial Proofs of Capelli's and Turnbull's Identities from
Classical Invariant Theory | Capelli's and Turnbull's classical identities are given elegant combinatorial
proofs. | 1993-09-21 | 2008-02-03 | [
"math.CO"
] | Dominique Foata (University of Strasbourg) and Doron Zeilberger
(Temple University) |
math/9307202 | Chu's 1303 Identity Implies Bombieri's 1990 Norm-Inequality [via an
Identity of Beauzamy and D\'egot] | The Vandermonde-Chu Binomial Coefficients Identity is shown to imply
Bombieri's deep norm inequalities, via identities of Beauzamy-D\'egot, and
Reznick. | 1993-07-02 | 2008-02-03 | [
"math.CO"
] | Doron Zeilberger (Temple University) |
math/9306213 | A WZ proof of Ramanujan's Formula for Pi | Ramanujan's series for Pi, that appeared in his famous letter to Hardy, is
given a one-line WZ proof. | 1993-06-03 | 2008-02-03 | [
"math.CO"
] | Shalosh B. Ekhad (Temple University) and Doron Zeilberger (Temple
University) |
math/9301202 | Theorems for a Price: Tomorrow's Semi-Rigorous Mathematical Culture | The future of mathematics is described, by using the WZ algorithmic proof
theory as a parable. | 1993-01-03 | 2008-02-03 | [
"math.CO"
] | Doron Zeilberger (Temple University) |
math/9301216 | Linkless embeddings of graphs in $3$-space | We announce results about flat (linkless) embeddings of graphs in 3-space. A
piecewise-linear embedding of a graph in 3-space is called {\it flat} if every
circuit of the graph bounds a disk disjoint from the rest of the graph. We have
shown:
(i) An embedding is flat if and only if the fundamental group of the
comple... | 1993-01-01 | 2016-09-06 | [
"math.CO",
"math.GT"
] | Neil Robertson, Paul Seymour, Robin Thomas |
math/9312202 | Regularity And Extremality Of Quasiconformal Homeomorphisms On CR
3-Manifolds | This paper first studies the regularity of conformal homeomorphisms on smooth
locally embeddable strongly pseudoconvex CR manifolds. Then moduli of curve
families are used to estimate the maximal dilatations of quasiconformal
homeomorphisms. On certain CR 3-manifolds, namely, CR circle bundles over flat
tori, extremal ... | 1993-12-30 | 2009-09-25 | [
"math.CV"
] | Puqi Tang |
math/9312201 | Quasiconformal Homeomorphisms on CR 3-Manifolds With Symmetries | An extremal quasiconformal homeomorphisms in a class of homeomorphisms
between two CR 3-manifolds is an one which has the least conformal distortion
among this class. This paper studies extremal quasiconformal homeomorphisms
between CR 3-manifolds which admit transversal CR circle actions. Equivariant
$K$-quasiconforma... | 1993-12-30 | 2008-02-03 | [
"math.CV"
] | Puqi Tang |
math/9310201 | Complex Finsler metrics | In this paper we describe an approach to complex Finsler metrics suitable to
deal with global questions, and stressing the similarities between hermitian
and complex Finsler metrics. Let $F$ be a smooth complex Finsler metric on a
complex manifold $M$, and assume that the indicatrices of $F$ are strongly
pseudoconvex -... | 1993-10-31 | 2016-09-06 | [
"math.CV"
] | Marco Abate and Giorgio Patrizio |
math/9309201 | Complexity of the classical kernel functions of potential theory | We show that the Bergman, Szego, and Poisson kernels associated to a finitely
connected domain in the plane are all composed of finitely many easily computed
functions of one variable. The new formulas give rise to new methods for
computing the Bergman and Szeg\H o kernels in which all integrals used in the
computation... | 1993-09-30 | 2008-02-03 | [
"math.CV"
] | Steven R. Bell |
math/9309202 | Moduli of bounded holomorphic functions in the ball | We prove that there is a continuous non-negative function $g$ on the unit
sphere in $\cd$, $d \geq 2$, whose logarithm is integrable with respect to
Lebesgue measure, and which vanishes at only one point, but such that no
non-zero bounded analytic function $m$ in the unit ball, with boundary values
$m^\star$, has $|m^\... | 1993-09-30 | 2009-09-25 | [
"math.CV"
] | B. Korenblum and J. McCarthy |
math/9310231 | Stokes' theorem for nonsmooth chains | Much of the vast literature on the integral during the last two centuries
concerns extending the class of integrable functions. In contrast, our
viewpoint is akin to that taken by Hassler Whitney [{\it Geometric integration
theory}, Princeton Univ. Press, Princeton, NJ, 1957] and by geometric measure
theorists because ... | 1993-10-01 | 2016-09-06 | [
"math.DG",
"math.CA"
] | Jenny Harrison |
math/9309214 | Differential geometry of $\frak g$-manifolds | An action of a Lie algebra $\frak g$ on a manifold $M$ is just a Lie algebra
homomorphism $\zeta:\frak g\to \frak X(M)$. We define orbits for such an
action. In general the space of orbits $M/\frak g$ is not a manifold and even
has a bad topology. Nevertheless for a $\frak g$-manifold with equidimensional
orbits we tre... | 1993-09-01 | 2016-09-06 | [
"math.DG"
] | Dimitri Alekseevsky, Peter W. Michor |
math/9307226 | Adding handles to the helicoid | There exist two new embedded minimal surfaces, asymptotic to the helicoid.
One is periodic, with quotient (by orientation-preserving translations) of
genus one. The other is nonperiodic of genus one. | 1993-07-01 | 2008-02-03 | [
"math.DG"
] | David A. Hoffman |
math/9306216 | The geometry of symplectic energy | In this paper we consider a geometric variant of Hofer's symplectic energy,
which was first considered by Eliashberg and Hofer in connection with their
study of the extent to which the interior of a region in a symplectic manifold
determines its boundary. We prove, by a simple geometric argument, that both
versions of ... | 1993-06-12 | 2008-02-03 | [
"math.DG",
"math.SG"
] | Fran\c{c}ois Lalonde, Dusa McDuff |
math/9311213 | Teichm\"uller space of Fibonacci maps | According to Sullivan, a space ${\cal E}$ of unimodal maps with the same
combinatorics (modulo smooth conjugacy) should be treated as an
infinitely-dimensional Teichm\"{u}ller space. This is a basic idea in
Sullivan's approach to the Renormalization Conjecture. One of its principle
ingredients is to supply ${\cal E}$ w... | 1993-11-27 | 2016-09-06 | [
"math.DS"
] | Mikhail Lyubich |
math/9310235 | A monotonicity conjecture for real cubic maps | This is an outline of work in progress. We study the conjecture that the
topological entropy of a real cubic map depends ``monotonely'' on its
parameters, in the sense that each locus of constant entropy in parameter space
is a connected set. This material will be presented in more detail in a later
paper. | 1993-10-30 | 2016-09-06 | [
"math.DS"
] | Silvina P. Dawson, Roza Galeeva, John W. Milnor, Charles Tresser |
math/9310226 | Iteration of meromorphic functions | This paper attempts to describe some of the results obtained in the iteration
theory of transcendental meromorphic functions, not excluding the case of
entire functions. The reader is not expected to be familiar with the iteration
theory of rational functions. On the other hand, some aspects where the
transcendental ca... | 1993-10-01 | 2018-01-08 | [
"math.DS",
"math.CV"
] | Walter Bergweiler |
math/9309215 | Geometry of quadratic polynomials: moduli, rigidity and local
connectivity | A while ago MLC (the conjecture that the Mandelbrot set is locally connected)
was proven for quasi-hyperbolic points by Douady and Hubbard, and for
boundaries of hyperbolic components by Yoccoz. More recently Yoccoz proved MLC
for all at most finitely renormalizable parameter values. One of our goals is
to prove MLC fo... | 1993-09-04 | 2016-09-06 | [
"math.DS"
] | Mikhail Lyubich |
math/9308223 | Induced expansion for quadratic polynomials | We prove that non-hyperbolic non-renormalizable quadratic polynomials are
expansion inducing. For renormalizable polynomials a counterpart of this
statement is that in the case of unbounded combinatorics renormalized mappings
become almost quadratic. Technically, this follows from the decay of the box
geometry. Specifi... | 1993-08-07 | 2016-09-06 | [
"math.DS"
] | Jacek Graczyk, Grzegorz Swiatek |
math/9307235 | On postcritically finite polynomials, part 2: Hubbard trees | We provide an effective classification of postcritically finite polynomials
as dynamical systems by means of Hubbard Trees. This can be viewed as an
application of the results developed in part 1 (Stony Brook IMS 1993/5). | 1993-07-10 | 2009-09-25 | [
"math.DS"
] | Alfredo Poirier |
math/9305207 | On postcritically finite polynomials, part 1: critical portraits | We extend the work of Bielefeld, Fisher and Hubbard on Critical Portraits to
the case of arbitrary postcritically finite polynomials. This determines an
effective classification of postcritically finite polynomials as dynamical
systems. This paper is the first in a series of two based on the author's
thesis, which deal... | 1993-05-15 | 2009-09-25 | [
"math.DS"
] | Alfredo Poirier |
math/9304217 | Density of periodic sources in the boundary of a basin of attraction for
iteration of holomorphic maps, geometric coding trees technique | We prove that if A is the basin of immediate attraction to a periodic
attracting or parabolic point for a rational map f on the Riemann sphere, then
periodic points in the boundary of A are dense in this boundary. To prove this
in the non simply- connected or parabolic situations we prove a more abstract,
geometric cod... | 1993-04-17 | 2008-02-03 | [
"math.DS"
] | Feliks Przytycki, Anna Zdunik |
math/9303209 | Accessability of typical points for invariant measures of positive
Lyapunov exponents for iterations of holomorphic maps | We prove that if A is the basin of immediate attraction to a periodic
attracting or parabolic point for a rational map f on the Riemann sphere, if
$A$ is completely invariant (i.e. $f^{-1}(A)=A$), and if $\mu$ is an arbitrary
$f$-invariant measure with positive Lyapunov exponents on the boundary of $A$,
then $\mu$-almo... | 1993-03-20 | 2016-09-06 | [
"math.DS"
] | Feliks Przytycki |
math/9301220 | Distribution of periodic points of polynomial diffeomorphisms of C^2 | This paper deals with the dynamics of a simple family of holomorphic
diffeomorphisms of $\C^2$: the polynomial automorphisms. This family of maps
has been studied by a number of authors. We refer to [BLS] for a general
introduction to this class of dynamical systems. An interesting object from the
point of view of pote... | 1993-01-23 | 2016-09-06 | [
"math.DS"
] | Eric Bedford, Mikhail Lyubich, John Smillie |
math/9312208 | Proportional subspaces of spaces with unconditional basis have good
volume properties | A generalization of Lozanovskii's result is proved. Let E be $k$-dimensional
subspace of an $n$-dimensional Banach space with unconditional basis. Then
there exist $x_1,..,x_k \subset E$ such that $B_E \p \subset \p
absconv\{x_1,..,x_k\}$ and \[ \kla \frac{{\rm vol}(absconv\{x_1,..,x_k\})}{{\rm
vol}(B_E)} \mer^{\frac{1... | 1993-12-29 | 2016-09-06 | [
"math.FA"
] | Marius Junge |
math/9312209 | On Functions of Finite Baire Index | It is proved that every function of finite Baire index on a separable metric
space $K$ is a $D$-function, i.e., a difference of bounded semi-continuous
functions on $K$. In fact it is a strong $D$-function, meaning it can be
approximated arbitrarily closely in $D$-norm, by simple $D$-functions. It is
shown that if the ... | 1993-12-29 | 2009-09-25 | [
"math.FA"
] | Fouad Chaatit, Vania Mascioni, Haskell P. Rosenthal |
math/9312206 | Cotype and summing properties in Banach spaces | It is well known in Banach space theory that for a finite dimensional space
$E$ there exists a constant $c_E$, such that for all sequences $(x_k)_k \subset
E$ one has \[ \summ_k \noo x_k \rrm \kl c_E \pl \sup_{\eps_k \pm 1} \noo
\summ_k \eps_k x_k \rrm \pl .\] Moreover, if $E$ is of dimension $n$ the
constant $c_E$ ran... | 1993-12-22 | 2016-09-06 | [
"math.FA"
] | Marius Junge |
math/9312207 | Hyperplane conjecture for quotient spaces of $L_p$ | We give a positive solution for the hyperplane conjecture of quotient spaces
F of $L_p$, where $1<p\kll\infty$. \[ vol(B_F)^{\frac{n-1}{n}} \kl c_0 \pl p'
\pl \sup_{H \p hyperplane} vol(B_F\cap H) \pl.\] This result is extended to
Banach lattices which does not contain $\ell_1^n$'s uniformly. Our main tools
are tensor ... | 1993-12-22 | 2008-02-03 | [
"math.FA"
] | Marius Junge |
math/9312205 | Isometries of $L_p$-spaces of solutions of homogeneous partial
differential equations | Let $ n\geq 2, A=(a_{ij})_{i,j=1}^{n}$ be a real symmetric matrix,
$a=(a_i)_{i=1}^{n}\in \Bbb R^n.$ Consider the differential operator $D_A =
\sum_{i,j=1}^n a_{ij}{\partial^2 \over \partial x_i \partial x_j}+ \sum_{i=1}^n
a_i{\partial \over \partial x_i}.$ Let $E$ be a bounded domain in $\Bbb R^n,$
$p>0.$ Denote by $L_... | 1993-12-15 | 2016-09-06 | [
"math.FA"
] | Alexander Koldobsky |
math/9311208 | The Fourier transform of order statistics with applications to Lorentz
spaces | We present a formula for the Fourier transforms of order statistics in $\Bbb
R^n$ showing that all these Fourier transforms are equal up to a constant
multiple outside the coordinate planes in $\Bbb R^n.$
For $a_1\geq ... \geq a_n\ge0$ and $q>0,$ denote by $\ell_{w,q}^n$ the
$n$-dimensional Lorentz space with the nor... | 1993-11-17 | 2016-09-06 | [
"math.FA"
] | Stephen J. Dilworth, Alexander Koldobsky |
math/9310217 | On complemented subspaces of sums and products of Banach spaces | It is proved that there exist complemented subspaces of countable topological
products (locally convex direct sums) of Banach spaces which cannot be
represented as topological products (locally convex direct sums) of Banach
spaces. (This is a revised version of the paper by the same name formerly
contained in the file ... | 1993-10-26 | 2010-09-07 | [
"math.FA"
] | Mikhail I. Ostrovskii |
math/9310218 | Structure of total subspaces of dual Banach spaces | Let $X$ be a separable nonquasireflexive Banach space. Let $Y$ be a Banach
space isomorphic to a subspace of $X^*$. The paper is devoted to the following
questions: 1. Under what conditions does there exist an isomorphic embedding
$T:Y\to X^*$ such that subspace $T(Y)\subset X^*$ is total? 2. If such
embeddings exist, ... | 1993-10-26 | 2010-09-07 | [
"math.FA"
] | Mikhail I. Ostrovskii |
math/9310216 | Property $(M)$, $M$-ideals, and almost isometric structure of Banach
spaces | We study $M$-ideals of compact operators by means of the property~$(M)$
introduced in \cite{Kal-M}. Our main result states for a separable Banach space
$X$ that the space of compact operators on $X$ is an $M$-ideal in the space of
bounded operators if (and only if) $X$ does not contain a copy of $\ell_{1}$,
has the met... | 1993-10-11 | 2016-09-06 | [
"math.FA"
] | Nigel J. Kalton, Dirk Werner |
math/9310215 | Contractive projections in nonatomic function spaces | We prove that there is no 1-complemented subspace of finite codimension in
separable rearrangament-invariant function spaces. | 1993-10-11 | 2009-09-25 | [
"math.FA"
] | Beata Randrianantoanina |
math/9310214 | Comparison of Sums of independent Identically Distributed Random
Variables | Let S_k be the k-th partial sum of Banach space valued independent
identically distributed random variables. In this paper, we compare the tail
distribution of ||S_k|| with that of ||S_j||, and deduce some tail distribution
maximal inequalities.
Theorem: There is universal constant c such that for j < k
Pr(||S_j|| ... | 1993-10-07 | 2008-02-03 | [
"math.FA"
] | Stephen J. Montgomery-Smith |
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