Theorems · Theorem · functional analysis
TemperedDistribution.fourierMultiplierCLM.congr_simp
∀ {E : Type u_3} (F : Type u_4) [inst : NormedAddCommGroup E] [inst_1 : NormedAddCommGroup F]
[inst_2 : InnerProductSpace ℝ E] [inst_3 : NormedSpace ℂ F] [inst_4 : FiniteDimensional ℝ E]
[inst_5 : MeasurableSpace E] [inst_6 : BorelSpace E] (g g_1 : E → ℂ),
g = g_1 → TemperedDistribution.fourierMultiplierCLM F g = TemperedDistribution.fourierMultiplierCLM F g_1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 304 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- Set.Elemstatement · cited by 7,166
- Set.ofPredstatement · cited by 6,101
- Complexstatement and proof · cited by 5,565
- ContinuousLinearMapstatement · cited by 5,352
- InnerProductSpacestatement and proof · cited by 3,523
- Finitestatement · cited by 3,029
Cited by2
Results whose statement or proof uses this declaration.
- TemperedDistribution.besselPotential_zeroproof · cited by 2
- TemperedDistribution.laplacian_eq_fourierMultiplierCLMproof · cited by 1