`BookProof.FourierMultiplierEsa.mixedOp_symmetric` (a c : ι → ℝ) (w : ι → V) (κ : ℝ) : BookProof.FarisLavine.SymmetricOn (schwartzDomain V) (opL2 (mixedOp a c w κ))
ProvedBookProof.FourierMultiplierEsa.mixedOp_symmetrictheoremstimepiece
Prove the following Lean 4 theorem from ChapterFourierMultiplierEsa.
BookProof.FourierMultiplierEsa.mixedOp_symmetric (a c : ι → ℝ) (w : ι → V) (κ : ℝ) : BookProof.FarisLavine.SymmetricOn (schwartzDomain V) (opL2 (mixedOp a c w κ))
Formalization note: Lean 4 identifier BookProof.FourierMultiplierEsa.mixedOp_symmetric.
Preamble
-- Generated from ChapterFourierMultiplierEsa.lean — theorem BookProof.FourierMultiplierEsa.mixedOp_symmetric
import Mathlib
import Definitions.Def_ChapterFourierMultiplierEsa
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterStrichartzWave
open BookProof.StrichartzWave
open BookProof.FourierMultiplierEsa
open MeasureTheory SchwartzMap FourierTransform ComplexInnerProductSpace LineDeriv
open BookProof.StrichartzWave
variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℝ V] [FiniteDimensional ℝ V]
[MeasurableSpace V] [BorelSpace V]
variable {ι : Type*} [Fintype ι]Formal statement
theorem BookProof.FourierMultiplierEsa.mixedOp_symmetric (a c : ι → ℝ) (w : ι → V) (κ : ℝ) :
BookProof.FarisLavine.SymmetricOn (schwartzDomain V) (opL2 (mixedOp a c w κ)) := by sorry