Theorems · Theorem · integral transforms
MellinConvergent.comp_mul_left
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {f : ℝ → E} {s : ℂ} {a : ℝ},
0 < a → (MellinConvergent (fun t => f (a * t)) s ↔ MellinConvergent f s)- Defined in
- Mathlib.Analysis.MellinTransform
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 259 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites26
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
- LT.lt.leproof · cited by 2,189
- MulZeroClass.mul_zeroproof · cited by 2,091
- Complex.ofRealproof · cited by 1,654
- MeasureTheory.Measure.restrictproof · cited by 1,646
- Set.Ioiproof · cited by 1,463
- LT.lt.ne'proof · cited by 1,417
- MeasureTheory.Integrableproof · cited by 1,367
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
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