Theorems · Theorem · functional analysis

TemperedDistribution.besselPotential_zero

∀ (E : Type u_1) (F : Type u_2) [inst : NormedAddCommGroup E] [inst_1 : NormedAddCommGroup F]
  [inst_2 : InnerProductSpace ℝ E] [inst_3 : FiniteDimensional ℝ E] [inst_4 : MeasurableSpace E] [inst_5 : BorelSpace E]
  [inst_6 : NormedSpace ℂ F],
  TemperedDistribution.besselPotential E F 0 = ContinuousLinearMap.id ℂ (TemperedDistribution E F)

Defined in: Mathlib.Analysis.Distribution.Sobolev
Cited by: 2 results in Mathlib
Foundations: Depth 306 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedAddCommGroup InnerProductSpace FiniteDimensional MeasurableSpace BorelSpace NormedSpace

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coeproof · cited by 62,936
Setstatement · cited by 53,352
Realstatement and proof · cited by 25,697
RingHom.idstatement and proof · 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
Norm.normproof · cited by 5,413
ContinuousLinearMapstatement · cited by 5,352

Cited by2

Results whose statement or proof uses this declaration.

TemperedDistribution.besselPotential_neg_apply_eq_iffproof · cited by 0
TemperedDistribution.memSobolev_zero_iffproof · cited by 0