Theorems · Definition · functional analysis

SchwartzMap.toZeroAtInfty

{E : Type u_5} →
  {F : Type u_6} →
    [inst : NormedAddCommGroup E] →
      [inst_1 : NormedSpace ℝ E] →
        [inst_2 : NormedAddCommGroup F] →
          [inst_3 : NormedSpace ℝ F] → [ProperSpace E] → SchwartzMap E F → ZeroAtInftyContinuousMap E F

Schwartz functions as continuous functions vanishing at infinity.

Defined in

Mathlib.Analysis.Distribution.SchwartzSpace.Basic

Cited by

4 results in Mathlib

Foundations

Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceProperSpace