Theorems · Theorem · harmonic analysis
VectorFourier.norm_fourierSMulRight
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {V : Type u_2} {W : Type u_3}
[inst_2 : NormedAddCommGroup V] [inst_3 : NormedSpace ℝ V] [inst_4 : NormedAddCommGroup W] [inst_5 : NormedSpace ℝ W]
(L : V →L[ℝ] W →L[ℝ] ℝ) (f : V → E) (v : V), ‖VectorFourier.fourierSMulRight L f v‖ = 2 * Real.pi * ‖L v‖ * ‖f v‖- Cited by
- 1 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- Norm.normstatement and proof · cited by 5,413
- ContinuousLinearMapstatement and proof · cited by 5,352
- mul_oneproof · cited by 3,885
- LT.lt.leproof · cited by 2,189
- Real.pistatement and proof · cited by 1,774
- mul_assocproof · cited by 1,667
Cited by1
Results whose statement or proof uses this declaration.
- VectorFourier.norm_fourierSMulRight_leproof · cited by 2