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Theorems · Theorem

FourierSMul.fourier_smul

∀ {R : Type u_5} {E : Type u_6} {F : outParam (Type u_7)} {inst : SMul R E} {inst_1 : SMul R F}
  {inst_2 : FourierTransform E F} [self : FourierSMul R E F] (r : R) (f : E),
  FourierTransform.fourier (r • f) = r • FourierTransform.fourier f
Defined in
Mathlib.Analysis.Fourier.Notation
Cited by
4 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
FourierSMul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

TemperedDistribution.fourierMultiplierCLM_const · cited by 1TemperedDistribution.four…TemperedDistribution.fourier_lineDerivOp_eq · cited by 1TemperedDistribution.four…SchwartzMap.lineDerivOp_fourierInv_eq · cited by 1SchwartzMap.lineDerivOp_f…TemperedDistribution.lineDerivOp_fourier_eq · cited by 0TemperedDistribution.line…FourierTransform.fourier · cited by 130FourierTransform.fourierFourierTransform · cited by 23FourierTransformFourierSMul · cited by 11FourierSMulFourierSMul.fourier_smulCITED BYCITES

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