Theorems · Theorem · integral transforms
hasMellin_add
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {f g : ℝ → E} {s : ℂ},
MellinConvergent f s → MellinConvergent g s → HasMellin (fun t => f t + g t) s (mellin f s + mellin g s)- Defined in
- Mathlib.Analysis.MellinTransform
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 253 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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
- MeasureTheory.integralproof · cited by 1,779
- Complex.ofRealproof · cited by 1,654
- MeasureTheory.Measure.restrictproof · cited by 1,646
- Set.Ioiproof · cited by 1,463
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
- MeasureTheory.IntegrableOnproof · cited by 548
- smul_addproof · cited by 263
- MeasureTheory.integral_addproof · cited by 49
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