Theorems · Theorem · integral transforms
mellin_comp_rpow
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] (f : ℝ → E) (s : ℂ) (a : ℝ),
mellin (fun t => f (t ^ a)) s = |a|⁻¹ • mellin f (s / ↑a)- Defined in
- Mathlib.Analysis.MellinTransform
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 283 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites48
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
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- CompleteSpaceproof · cited by 2,532
- absstatement and proof · cited by 1,814
- MeasureTheory.integralproof · cited by 1,779
- mul_assocproof · cited by 1,667
- Complex.ofRealstatement and proof · cited by 1,654
- MeasureTheory.Measure.restrictproof · cited by 1,646
Cited by1
Results whose statement or proof uses this declaration.
- mellin_comp_invproof · cited by 0