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arXiv · 2307.15352

Quantization on Groups and Garding inequality

Lino Benedetto·Clotilde Fermanian Kammerer·Véronique Fischer
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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.

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Lino Benedetto, Clotilde Fermanian Kammerer, Véronique Fischer. 2023-07-28. Quantization on Groups and Garding inequality. https://arxiv.org/abs/2307.15352

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