A Whittaker-Shannon-Kotel'nikov sampling theorem related to the Dunkl transform
A Whittaker-Shannon-Kotel'nikov sampling theorem related to the Dunkl transform on the real line is proved. To this end we state, in terms of Bessel functions, an orthonormal system which is complete in L<sup>2</sup>((-1, 1), |x|<sup>2α+1</sup> dx). This orthonormal syst...
| Autores: | , |
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| Tipo de documento: | artigo |
| Estado: | Versión aceptada para publicación |
| Data de publicação: | 2007 |
| País: | España |
| Recursos: | Universidad de La Rioja (UR) |
| Repositório: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc69cab750603269e8217c |
| Acesso em linha: | https://investigacion.unirioja.es/documentos/5bbc69cab750603269e8217c |
| Access Level: | Acceso aberto |
| Palavra-chave: | Bessel functions Dunkl transform Orthonormal system Reproducing kernel WSK sampling theorem |
| Resumo: | A Whittaker-Shannon-Kotel'nikov sampling theorem related to the Dunkl transform on the real line is proved. To this end we state, in terms of Bessel functions, an orthonormal system which is complete in L<sup>2</sup>((-1, 1), |x|<sup>2α+1</sup> dx). This orthonormal system is a generalization of the classical exponential system defining Fourier series. © 2007 American Mathematical Society. |
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