Theorems · Theorem · functional analysis
TemperedDistribution.lineDerivOpCLM_eq
∀ {E : Type u_3} {F : Type u_4} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : AddCommGroup F]
[inst_3 : Module ℂ F] [inst_4 : TopologicalSpace F] [inst_5 : IsTopologicalAddGroup F]
[inst_6 : ContinuousConstSMul ℂ F] (m : E),
LineDeriv.lineDerivOpCLM ℂ (TemperedDistribution E F) m =
PointwiseConvergenceCLM.precomp F (-LineDeriv.lineDerivOpCLM ℂ (SchwartzMap E ℂ) m)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 231 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- AddCommGroupstatement and proof · cited by 12,871
- 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
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