Prove2Me

`BookProof.HermiteStrichartzQG.oscillator_essentiallySelfAdjoint_on_hermiteCore` : EssentiallySelfAdjointOn hermiteCore (hermiteCoreOp oscillatorSymbol)

Proved
BookProof.HermiteStrichartzQG.oscillator_essentiallySelfAdjoint_on_hermiteCore

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterStrichartzHermiteQG.

BookProof.HermiteStrichartzQG.oscillator_essentiallySelfAdjoint_on_hermiteCore : EssentiallySelfAdjointOn hermiteCore (hermiteCoreOp oscillatorSymbol)

Formalization note: Lean 4 identifier BookProof.HermiteStrichartzQG.oscillator_essentiallySelfAdjoint_on_hermiteCore.

Preamble
-- Generated from ChapterStrichartzHermiteQG.lean — theorem BookProof.HermiteStrichartzQG.oscillator_essentiallySelfAdjoint_on_hermiteCore
import Definitions.Def_ChapterHermiteFunctions
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterQuantumGravityDensitized
import Mathlib
import Definitions.Def_ChapterStrichartzHermiteQG
import Definitions.Def_ChapterFarisLavineCore
open BookProof.HermiteStrichartzQG



open MeasureTheory BookProof.HermiteCore BookProof.FarisLavine
open BookProof.QuantumGravityDensitized
Formal statement
theorem BookProof.HermiteStrichartzQG.oscillator_essentiallySelfAdjoint_on_hermiteCore :
    EssentiallySelfAdjointOn hermiteCore (hermiteCoreOp oscillatorSymbol) := by sorry

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