Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms
[EN] We study the behaviour of linear partial differential operators with polynomial coefficients via a Wigner type transform. In particular, we obtain some results of regularity in the Schwartz space $\Sch$ and in the space $\Sch_\omega$ as introduced by Bj\"orck for weight functions $\ome...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| 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:10251/107356 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/107356 |
| Access Level: | acceso abierto |
| Palabra clave: | Linear partial differential operators with polynomial coefficients Schwartz spaces Wigner transform MATEMATICA APLICADA |
| Sumario: | [EN] We study the behaviour of linear partial differential operators with polynomial coefficients via a Wigner type transform. In particular, we obtain some results of regularity in the Schwartz space $\Sch$ and in the space $\Sch_\omega$ as introduced by Bj\"orck for weight functions $\omega$. Several examples are discussed in this new setting. |
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