The Wigner global wave front set in spaces of tempered ultradistributions
[EN] In this paper we introduce and study global wave front sets in terms of the t-Wigner transform in global ultradifferentiable classes of Beurling type modulated with weight functions in the sense of Braun, Meise, and Taylor, and we compare it with other wave front sets existing in the literature...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| 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:10251/204306 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/204306 |
| Access Level: | acceso abierto |
| Palabra clave: | Global wave front set T-Wigner transform Global ultradifferentiable classes Gabor frames |
| Sumario: | [EN] In this paper we introduce and study global wave front sets in terms of the t-Wigner transform in global ultradifferentiable classes of Beurling type modulated with weight functions in the sense of Braun, Meise, and Taylor, and we compare it with other wave front sets existing in the literature defined by different time-frequency analysis tools, such as the short-time Fourier transform or Gabor frames. Conditions for the equality of these wave front sets are provided and some examples are given. |
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