Theorems · Theorem · harmonic analysis
Fourier.fourierIntegral_const_smul
∀ {𝕜 : Type u_1} [inst : CommRing 𝕜] [inst_1 : MeasurableSpace 𝕜] {E : Type u_2} [inst_2 : NormedAddCommGroup E]
[inst_3 : NormedSpace ℂ E] (e : AddChar 𝕜 Circle) (μ : MeasureTheory.Measure 𝕜) (f : 𝕜 → E) (r : ℂ),
Fourier.fourierIntegral e μ (r • f) = r • Fourier.fourierIntegral e μ f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 254 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Complexstatement and proof · cited by 5,565
- AddCharstatement and proof · cited by 286
- Circlestatement and proof · cited by 227
- LinearMap.mulproof · cited by 61
- Fourier.fourierIntegralstatement · cited by 5
- VectorFourier.fourierIntegral_const_smulproof · cited by 1
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