Theorems · Theorem · integral transforms
hasMellin_const_smul
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] {f : ℝ → E} {s : ℂ},
MellinConvergent f s →
∀ {R : Type u_2} [inst_2 : NormedRing R] [inst_3 : Module R E] [IsBoundedSMul R E] [SMulCommClass ℂ R E] (c : R),
HasMellin (fun t => c • f t) s (c • mellin f s)- Defined in
- Mathlib.Analysis.MellinTransform
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 252 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Modulestatement and proof · cited by 20,661
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- SMulCommClassstatement and proof · cited by 1,927
- 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
- NormedRingstatement and proof · cited by 924
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.