A Whittaker-Shannon-Kotel'nikov sampling theorem related to the Dunkl transform

  1. Ciaurri, O. 1
  2. Varona, J.L. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revue:
Proceedings of the American Mathematical Society

ISSN: 0002-9939

Année de publication: 2007

Volumen: 135

Número: 9

Pages: 2939-2947

Type: Article

DOI: 10.1090/S0002-9939-07-08831-4 SCOPUS: 2-s2.0-47049101432 WoS: WOS:000246803000035 GOOGLE SCHOLAR lock_openAccès ouvert editor

D'autres publications dans: Proceedings of the American Mathematical Society

Dépôt institutionnel: lock_openAccès ouvert Editor lock_openAccès ouvert Postprint

Projets liés

Ortogonalidad y aproximación: teoría y aplciaciones físicas y clínicas

2006/00095/001

Résumé

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.