`BookProof.HarmonicOscillator.hermiteC_eq` (n : ℕ) : hermiteC n = fun x => ((hermiteNorm n : ℝ) : ℂ)⁻¹ * polyGaussC (hermiteR n) x

Proved

BookProof.HarmonicOscillator.hermiteC_eq

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterHarmonicOscillatorEsa.

BookProof.HarmonicOscillator.hermiteC_eq (n : ℕ) : hermiteC n = fun x => ((hermiteNorm n : ℝ) : ℂ)⁻¹ * polyGaussC (hermiteR n) x

Formalization note: Lean 4 identifier BookProof.HarmonicOscillator.hermiteC_eq.

Preamble

-- Generated from ChapterHarmonicOscillatorEsa.lean — theorem BookProof.HarmonicOscillator.hermiteC_eq
import Definitions.Def_ChapterStrichartzHermiteQG
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterHarmonicOscillatorEsa
import Definitions.Def_ChapterHermiteFunctions
open BookProof.HermiteCore
open BookProof.HarmonicOscillator



open MeasureTheory Polynomial BookProof.HermiteCore BookProof.HermiteStrichartzQG
open BookProof.FarisLavine

Formal statement

theorem BookProof.HarmonicOscillator.hermiteC_eq (n : ℕ) :
    hermiteC n = fun x => ((hermiteNorm n : ℝ) : ℂ)⁻¹ * polyGaussC (hermiteR n) x := by sorry

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