Theorems · Theorem · integral transforms

mellin_comp_mul_left

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℂ E] (f : ℝ → E) (s : ℂ) {a : ℝ},
  0 < a → mellin (fun t => f (a * t)) s = ↑a ^ (-s) • mellin f s

Defined in

Mathlib.Analysis.MellinTransform

Cited by

1 results in Mathlib

Foundations

Depth 260 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpace