Theorems · Theorem · harmonic analysis

ContDiff.fourierPowSMulRight

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {V : Type u_2} {W : Type u_3}
  [inst_2 : NormedAddCommGroup V] [inst_3 : NormedSpace ℝ V] [inst_4 : NormedAddCommGroup W] [inst_5 : NormedSpace ℝ W]
  (L : V →L[ℝ] W →L[ℝ] ℝ) {f : V → E} {k : WithTop ℕ∞},
  ContDiff ℝ k f → ∀ (n : ℕ), ContDiff ℝ k fun v => VectorFourier.fourierPowSMulRight L f v n

Defined in

Mathlib.Analysis.Fourier.FourierTransformDeriv

Cited by

1 results in Mathlib

Foundations

Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace