Theorems · Theorem · functional analysis
SchwartzMap.isBigO_cocompact_zpow_neg_nat
∀ {E : Type u_5} {F : Type u_6} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : NormedAddCommGroup F]
[inst_3 : NormedSpace ℝ F] (f : SchwartzMap E F) (k : ℕ), ⇑f =O[Filter.cocompact E] fun x => ‖x‖ ^ (-↑k)Auxiliary lemma, used in proving the more general result isBigO_cocompact_rpow.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Norm.normstatement and proof · cited by 5,413
- le_of_ltproof · cited by 1,175
- div_eq_mul_invproof · cited by 715
- Filter.Eventually.monoproof · cited by 646
- Asymptotics.IsBigOstatement · cited by 506
- SchwartzMapstatement and proof · cited by 251
- iteratedFDerivproof · cited by 211
- zpow_negproof · cited by 198
Cited by1
Results whose statement or proof uses this declaration.
- SchwartzMap.isBigO_cocompact_rpowproof · cited by 3