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

Revista:
Proceedings of the American Mathematical Society

ISSN: 0002-9939

Any de publicació: 2007

Volum: 135

Número: 9

Pàgines: 2939-2947

Tipus: Article

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

Altres publicacions en: Proceedings of the American Mathematical Society

Repositori institucional: lock_openAccés obert Editor lock_openAccés obert Postprint

Projectes relacionats

Ortogonalidad y aproximación: teoría y aplciaciones físicas y clínicas

2006/00095/001

Resum

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.