Pré-Publication, Document De Travail Année : 2024

Quantization on Groups and Garding inequality

Résumé

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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Dates et versions

hal-04171881 , version 1 (26-07-2023)
hal-04171881 , version 2 (31-07-2023)
hal-04171881 , version 3 (09-02-2024)
hal-04171881 , version 4 (17-04-2024)

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Lino Benedetto, Clotilde Fermanian Kammerer, Véronique Fischer. Quantization on Groups and Garding inequality. 2024. ⟨hal-04171881v4⟩
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