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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.15352 |
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| _version_ | 1866909101127106560 |
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| author | Benedetto, Lino Kammerer, Clotilde Fermanian Fischer, Véronique |
| author_facet | Benedetto, Lino Kammerer, Clotilde Fermanian Fischer, Véronique |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_15352 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantization on Groups and Garding inequality Benedetto, Lino Kammerer, Clotilde Fermanian Fischer, Véronique Functional Analysis 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. |
| title | Quantization on Groups and Garding inequality |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2307.15352 |