Theorems · Theorem · functional analysis
SchwartzMap.laplacian_eq_fourierMultiplierCLM
∀ {E : Type u_3} {F : Type u_4} [inst : NormedAddCommGroup E] [inst_1 : NormedAddCommGroup F]
[inst_2 : InnerProductSpace ℝ E] [inst_3 : NormedSpace ℂ F] [inst_4 : FiniteDimensional ℝ E]
[inst_5 : MeasurableSpace E] [inst_6 : BorelSpace E] [CompleteSpace F] (f : SchwartzMap E F),
Laplacian.laplacian f = -(2 * Real.pi) ^ 2 • (SchwartzMap.fourierMultiplierCLM F fun x => ‖x‖ ^ 2) f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 305 from the axioms · uses propext, Classical.choice, Quot.sound
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