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

Zeitschrift:
Proceedings of the American Mathematical Society

ISSN: 0002-9939

Datum der Publikation: 2007

Ausgabe: 135

Nummer: 9

Seiten: 2939-2947

Art: Artikel

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

Andere Publikationen in: Proceedings of the American Mathematical Society

Institutionelles Repository: lock_openOpen Access Editor lock_openOpen Access Postprint

Projekte im Zusammenhang

Ortogonalidad y aproximación: teoría y aplciaciones físicas y clínicas

2006/00095/001

Zusammenfassung

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.