Wick quantization on groups and application to Gårding inequalities
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 prove Gårding inequalities for three global symbolic pseudodifferential calculi on groups.
Authors
- Véronique Fischer (ORCID: https://orcid.org/0000-0002-2057-6184)
- Lino Benedetto
- Clotilde Fermanian Kammerer
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Paris-Est Créteil (FR)
- École Normale Supérieure (BI)
- Laboratoire Angevin de Recherche en Mathématiques (FR)
- Université Gustave Eiffel (FR)
- University of Bath (GB)
Publication Details
- Journal
- Journal of the Mathematical Society of Japan
- Published
- 2024-11-13
- DOI
- https://doi.org/10.2969/jmsj/92149214
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00