Theorems · Definition · complex analysis
toMeromorphicNFOn
{𝕜 : Type u_1} →
[inst : NontriviallyNormedField 𝕜] →
{E : Type u_2} → [inst_1 : NormedAddCommGroup E] → [NormedSpace 𝕜 E] → (𝕜 → E) → Set 𝕜 → 𝕜 → EIf f is meromorphic on U, convert f to normal form on U by changing its
values along a discrete subset within U. Otherwise, returns the 0 function.
- Defined in
- Mathlib.Analysis.Meromorphic.NormalForm
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- MeromorphicOnproof · cited by 141
- toMeromorphicNFAtproof · cited by 15
Cited by13
Results whose statement or proof uses this declaration.
- meromorphicNFOn_toMeromorphicNFOnstatement · cited by 5
- MeromorphicOn.extract_zeros_polesproof · cited by 4
- MeromorphicOn.toMeromorphicNFOn_eq_self_on_nhdsNEstatement · cited by 3
- meromorphicOrderAt_toMeromorphicNFOnstatement · cited by 2
- toMeromorphicNFOn_eq_toMeromorphicNFAt_on_nhdsstatement · cited by 2
- MeromorphicOn.divisor_of_toMeromorphicNFOnstatement and proof · cited by 2
- toMeromorphicNFOn_eqOn_codiscretestatement · cited by 1
- toMeromorphicNFOn_eq_toMeromorphicNFAtstatement · cited by 1
- toMeromorphicNFOn_of_not_meromorphicOnstatement · cited by 1
- MeromorphicOn.exists_canonicalDecompproof · cited by 1
- ValueDistribution.logCounting_isBigO_one_iff_analyticOnNhdstatement and proof · cited by 0
- toMeromorphicNFOn_eq_selfstatement and proof · cited by 0