Theorems · Theorem · functional analysis
TemperedDistribution.fourierTransformCLM_apply
Deprecated since 2026-01-06Use FourierTransform.fourierCLM_apply instead.
∀ {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 fAlias of FourierTransform.fourierCLM_apply.
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- Depth 24 from the axioms · uses no axioms
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Cites14
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 · cited by 24,529
- Modulestatement · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement · cited by 13,802
- AddCommMonoidstatement · cited by 12,281
- ContinuousLinearMapstatement · cited by 5,352
- FourierTransform.fourierstatement · cited by 130
- FourierTransformstatement · cited by 23
- FourierAddstatement · cited by 14
- FourierSMulstatement · cited by 11
- ContinuousFourierstatement · cited by 8
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