Matrix-Wigner global wave front sets in ultradifferentiable classes
[EN] We study global wave front sets given by matrices of Wigner type and defined in spaces of globally w-tempered ultradistributions of Beurling type, extending and completing the results in Asensio (J Pseudo-Differ Oper Appl 14(2):27, 2023). In fact, this approach permits to unify previous analyse...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/214546 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/214546 |
| Access Level: | acceso abierto |
| Palabra clave: | Global wave front set Matrix-Wigner transform Right-regular matrix Gabor frames MATEMATICA APLICADA |
| Sumario: | [EN] We study global wave front sets given by matrices of Wigner type and defined in spaces of globally w-tempered ultradistributions of Beurling type, extending and completing the results in Asensio (J Pseudo-Differ Oper Appl 14(2):27, 2023). In fact, this approach permits to unify previous analyses in the literature of this field and to include other quadratic time-frequency analysis representations that had not been considered there. Moreover, we prove that the range of matrices is optimal, in the sense that no further matrix-Wigner transform could describe the spaces of globally -rapidly decreasing functions in terms of seminorms. Finally, wave front sets for concrete distributions are calculated. |
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