Quantization on Groups and Garding inequality
Functional Analysis
2024-02-13 v3
Abstract
In this paper, we introduce Wick's quantization on groups and discuss its links with Kohn-Nirenberg's. By quantization, we mean an operation that associates an operator to a symbol. The notion of symbols for both quantizations is based on representation theory via the group Fourier transform and the Plancherel theorem. As an application, we give a simple proof of Garding inequalities for three globally symbolic pseudo-differential calculi on groups.
Keywords
Cite
@article{arxiv.2307.15352,
title = {Quantization on Groups and Garding inequality},
author = {Lino Benedetto and Clotilde Fermanian Kammerer and Véronique Fischer},
journal= {arXiv preprint arXiv:2307.15352},
year = {2024}
}