Theorems · Theorem · harmonic analysis
Real.fourierInv_comp_linearIsometry
∀ {V : Type u_1} {W : Type u_2} {E : Type u_3} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E]
[inst_2 : NormedAddCommGroup V] [inst_3 : InnerProductSpace ℝ V] [inst_4 : MeasurableSpace V] [inst_5 : BorelSpace V]
[inst_6 : NormedAddCommGroup W] [inst_7 : InnerProductSpace ℝ W] [inst_8 : MeasurableSpace W] [inst_9 : BorelSpace W]
[inst_10 : FiniteDimensional ℝ W] [inst_11 : FiniteDimensional ℝ V] (A : W ≃ₗᵢ[ℝ] V) (f : V → E) (w : W),
FourierTransformInv.fourierInv (f ∘ ⇑A) w = FourierTransformInv.fourierInv f (A w)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 267 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- InnerProductSpacestatement and proof · cited by 3,523
- FiniteDimensionalstatement and proof · cited by 1,854
- BorelSpacestatement and proof · cited by 1,602
- LinearIsometryEquivstatement and proof · cited by 748
- map_negproof · cited by 378
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.