Theorems · Theorem · integral transforms
mellin_div_const
∀ (f : ℝ → ℂ) (s a : ℂ), mellin (fun t => f t / a) s = mellin f s / a
- Defined in
- Mathlib.Analysis.MellinTransform
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 256 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- 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
- mellinstatement · cited by 33
- MeasureTheory.integral_divproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- HurwitzZeta.hasSum_int_completedCosZetaproof · cited by 2
- HurwitzZeta.hasSum_int_completedSinZetaproof · cited by 2
- HurwitzZeta.hasSum_int_completedHurwitzZetaEvenproof · cited by 1
- HurwitzZeta.hasSum_int_completedHurwitzZetaOddproof · cited by 1