Theorems · Theorem · integral transforms
hasMellin_one_Ioc
∀ {s : ℂ}, 0 < s.re → HasMellin ((Set.Ioc 0 1).indicator fun x => 1) s (1 / s)The Mellin transform of the indicator function of Ioc 0 1.
- Defined in
- Mathlib.Analysis.MellinTransform
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 269 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites42
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
- TopologicalSpaceproof · cited by 24,529
- NormedAddCommGroupproof · cited by 15,752
- MeasurableSpaceproof · cited by 13,106
- NormedSpaceproof · cited by 12,499
- MeasureTheory.Measureproof · cited by 10,939
- Preorderproof · cited by 7,952
- Complexstatement and proof · cited by 5,565
- mul_oneproof · cited by 3,885
- MeasurableSetproof · cited by 3,075
- le_reflproof · cited by 2,061
- MeasureTheory.integralproof · cited by 1,779
Cited by1
Results whose statement or proof uses this declaration.
- hasMellin_cpow_Iocproof · cited by 0