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7f37411 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 | import Mathlib
import OAI.MeasureTheory.FalconerCompletion.Sphere.SphereAmbient2
namespace OAI
/-! Angular cutoffs and derivative estimates. -/
section
section
open Set MeasureTheory
open scoped ComplexConjugate RealInnerProductSpace
namespace GraphLiteralSupport
namespace Attempt4PrefixShell
open MeasureTheory Set
variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℝ V]
variable [MeasurableSpace V]
noncomputable def sourceAngularTransformND (ρ : Measure V) (X : Set V) (M : ℝ)
(b : V → V → ℂ) (r : ℝ) (w : V) : ℂ :=
M⁻¹ • ∫ x in X, spherePlaneWaveND r x w*b x w ∂ρ
end Attempt4PrefixShell
end GraphLiteralSupport
end
end
end OAI
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