Theorems · Inductive type
FourierTransform
Type u → outParam (Type v) → Type (max u v)
The notation typeclass for the Fourier transform.
While the Fourier transform is a linear operator, the notation is for the function E → F without
any additional properties. This makes it possible to use the notation for functions where
integrability is an issue.
Moreover, including a scalar multiplication causes problems for inferring the notation type class.
- Defined in
- Mathlib.Analysis.Fourier.Notation
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by57
Results whose statement or proof uses this declaration.
- FourierTransform.fourierstatement and proof · cited by 130
- FourierAddstatement · cited by 14
- FourierSMulstatement · cited by 11
- FourierInvPair.fourier_fourierInv_eqstatement and proof · cited by 10
- ContinuousFourierstatement · cited by 8
- FourierPair.fourierInv_fourier_eqstatement and proof · cited by 7
- FourierInvPairstatement · cited by 7
- FourierPairstatement · cited by 7
- 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