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math.AP2025
Besov spaces associated with the Harmonic oscillator
Reika Fukuizumi, Tsukasa Iwabuchi
The Besov space associated with the harmonic oscillator is introduced and thoroughly explored in this paper. It provides a comprehensive summary of the fundamental concepts of the…
math.PR2025
On the parabolic model for the harmonic oscillator: diagrams and local existence
Aurélien Deya, Reika Fukuizumi, Laurent Thomann
We prove the local wellposedness of the (renormalized) parabolic model associated with the harmonic oscillator on , that is, the equation formally written as…