Theorems · Definition · integral transforms
MellinConvergent
{E : Type u_1} → [inst : NormedAddCommGroup E] → [NormedSpace ℂ E] → (ℝ → E) → ℂ → PropPredicate on f and s asserting that the Mellin integral is well-defined.
- Defined in
- Mathlib.Analysis.MellinTransform
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 243 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- Complex.ofRealproof · cited by 1,654
- Set.Ioiproof · cited by 1,463
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
- MeasureTheory.IntegrableOnproof · cited by 548
Cited by15
Results whose statement or proof uses this declaration.
- HasMellinproof · cited by 7
- WeakFEPair.hasMellinproof · cited by 3
- mellinConvergent_of_isBigO_rpowstatement · cited by 3
- mellin_hasDerivAt_of_isBigO_rpowstatement · cited by 2
- hasMellin_substatement and proof · cited by 1
- MellinConvergent.const_smulstatement and proof · cited by 1
- hasMellin_addstatement and proof · cited by 0
- hasMellin_const_smulstatement and proof · cited by 0
- MellinConvergent.comp_mul_leftstatement and proof · cited by 0
- MellinConvergent.comp_rpowstatement · cited by 0
- MellinConvergent.cpow_smulstatement · cited by 0
- MellinConvergent.div_conststatement and proof · cited by 0