The multiplier of the interval [−1, 1] for the Dunkl transform of arbitrary order on the real line
We study the boundedness of the multiplier of the interval (Formula presented.) for the Dunkl transform of order (Formula presented.) on weighted (Formula presented.) spaces, with (Formula presented.). In particular, we get that it is bounded from (Formula presented.) into itself if and only if (For...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc69e5b750603269e82356 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc69e5b750603269e82356 |
| Access Level: | acceso abierto |
| Palabra clave: | Bessel functions Dunkl operator Dunkl transform multipliers |
| Sumario: | We study the boundedness of the multiplier of the interval (Formula presented.) for the Dunkl transform of order (Formula presented.) on weighted (Formula presented.) spaces, with (Formula presented.). In particular, we get that it is bounded from (Formula presented.) into itself if and only if (Formula presented.) when (Formula presented.) or if and only if (Formula presented.) when (Formula presented.). © 2015 Taylor & Francis. |
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