Theorems · Definition · functional analysis

SchwartzMap.fourierMultiplierCLM

{𝕜 : Type u_2} →
  {E : Type u_3} →
    (F : Type u_4) →
      [inst : RCLike 𝕜] →
        [inst_1 : NormedAddCommGroup E] →
          [inst_2 : NormedAddCommGroup F] →
            [inst_3 : InnerProductSpace ℝ E] →
              [inst_4 : NormedSpace ℂ F] →
                [inst_5 : NormedSpace 𝕜 F] →
                  [inst_6 : SMulCommClass ℂ 𝕜 F] →
                    [FiniteDimensional ℝ E] →
                      [inst_8 : MeasurableSpace E] → [BorelSpace E] → (E → 𝕜) → SchwartzMap E F →L[𝕜] SchwartzMap E F

Fourier multiplier on Schwartz functions.

Defined in

Mathlib.Analysis.Distribution.FourierMultiplier

Cited by

12 results in Mathlib

Foundations

Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupNormedAddCommGroupInnerProductSpaceNormedSpaceNormedSpaceSMulCommClassFiniteDimensionalMeasurableSpaceBorelSpace