Theorems · Theorem
FourierTransform.fourierCLM_apply
∀ {R : Type u_2} {E : Type u_3} {F : Type u_4} [inst : Semiring R] [inst_1 : AddCommMonoid E] [inst_2 : AddCommMonoid F]
[inst_3 : Module R E] [inst_4 : Module R F] [inst_5 : FourierTransform E F] [inst_6 : FourierAdd E F]
[inst_7 : FourierSMul R E F] [inst_8 : TopologicalSpace E] [inst_9 : TopologicalSpace F]
[inst_10 : ContinuousFourier E F] (f : E), (FourierTransform.fourierCLM R E) f = FourierTransform.fourier f- Defined in
- Mathlib.Analysis.Fourier.Notation
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- ContinuousLinearMapstatement · cited by 5,352
- FourierTransform.fourierstatement · cited by 130
- FourierTransformstatement and proof · cited by 23
- FourierAddstatement and proof · cited by 14
- FourierSMulstatement and proof · cited by 11
- ContinuousFourierstatement and proof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- TemperedDistribution.fourierTransformCLM_applyproof · cited by 0