Theorems · Inductive type
ContinuousFourier
(E : Type u_5) → (F : outParam (Type u_6)) → [TopologicalSpace E] → [TopologicalSpace F] → [FourierTransform E F] → Prop
The Fourier transform is continuous.
- Defined in
- Mathlib.Analysis.Fourier.Notation
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- FourierTransformstatement · cited by 23
Cited by14
Results whose statement or proof uses this declaration.
- FourierTransform.fourierCLEstatement and proof · cited by 4
- FourierTransform.fourierCLMstatement and proof · cited by 4
- FourierTransform.fourierCLE_symm_applystatement and proof · cited by 1
- FourierTransform.fourierCLE_applystatement and proof · cited by 1
- FourierTransform.fourierCLM_applystatement and proof · cited by 1
- ContinuousFourier.casesOnstatement and proof · cited by 0
- ContinuousFourier.continuous_fourierstatement and proof · cited by 0
- TemperedDistribution.fourierTransformCLMstatement · cited by 0
- ContinuousFourier.recOnstatement and proof · cited by 0
- FourierTransform.fourierCLM.congr_simpstatement and proof · cited by 0
- SchwartzMap.fourierTransformCLEstatement · cited by 0
- SchwartzMap.fourierTransformCLE_applystatement · cited by 0