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A Whittaker-Shannon-Kotel'nikov sampling theorem related to the Dunkl transform |
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| Authors: | Ó scar Ciaurri Juan L Varona |
| Institution: | Departamento de Matemáticas y Computación, Universidad de La Rioja, Edificio J. L. Vives, Calle Luis de Ulloa s/n, 26004 Logroño, Spain ; Departamento de Matemáticas y Computación, Universidad de La Rioja, Edificio J. L. Vives, Calle Luis de Ulloa s/n, 26004 Logroño, Spain |
| Abstract: | 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  . This orthonormal system is a generalization of the classical exponential system defining Fourier series. |
| Keywords: | WSK sampling theorem reproducing kernel Dunkl transform orthonormal system Bessel functions |
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