# Besov spaces associated with the Harmonic oscillator

## TL;DR

This paper introduces and thoroughly explores Besov spaces linked to the harmonic oscillator, detailing their fundamental properties, embeddings, and bilinear estimates, advancing the mathematical understanding of these function spaces.

## Contribution

It provides a comprehensive analysis of Besov spaces associated with the harmonic oscillator, including new insights into their properties and estimates.

## Key findings

- Detailed characterization of Besov spaces linked to the harmonic oscillator
- Embedding properties and bilinear estimates established
- Enhanced understanding of function space behavior in quantum harmonic analysis

## Abstract

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 Besov spaces, their embedding properties, bilinear estimates, and related topics.