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

Aldizkaria:
Proceedings of the American Mathematical Society

ISSN: 0002-9939

Argitalpen urtea: 2007

Alea: 135

Zenbakia: 9

Orrialdeak: 2939-2947

Mota: Artikulua

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

Beste argitalpen batzuk: Proceedings of the American Mathematical Society

Gordailu instituzionala: lock_openSarbide irekia Editor lock_openSarbide irekia Postprint

Lotura duten proiektuak

Ortogonalidad y aproximación: teoría y aplciaciones físicas y clínicas

2006/00095/001

Laburpena

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.