Theorems · Inductive type
FourierSMul
(R : Type u_5) → (E : Type u_6) → (F : outParam (Type u_7)) → [SMul R E] → [SMul R F] → [FourierTransform E F] → Prop
A FourierSMul is a function space on which the Fourier transform is homogeneous.
- Defined in
- Mathlib.Analysis.Fourier.Notation
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- SMulSMulFourierTransform
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FourierTransformstatement · cited by 23
Cited by19
Results whose statement or proof uses this declaration.
- FourierSMul.fourier_smulstatement and proof · cited by 4
- FourierTransform.fourierCLEstatement and proof · cited by 4
- FourierTransform.fourierCLMstatement and proof · cited by 4
- FourierTransform.fourierEquivstatement and proof · cited by 4
- FourierTransform.fourierₗstatement and proof · cited by 1
- FourierTransform.fourierCLE_applystatement and proof · cited by 1
- FourierTransform.fourierCLE_symm_applystatement and proof · cited by 1
- FourierTransform.fourierCLM_applystatement and proof · cited by 1
- FourierTransform.fourierₗ_applystatement and proof · cited by 0
- TemperedDistribution.fourierTransformCLMstatement · cited by 0
- TemperedDistribution.fourierTransformCLM_applystatement · cited by 0
- FourierTransform.fourierCLM.congr_simpstatement and proof · cited by 0