A Whittaker-Shannon-Kotel'nikov sampling theorem related to the Dunkl transform
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چکیده
منابع مشابه
A Whittaker-shannon-kotel’nikov Sampling Theorem Related to the Dunkl Transform
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 L2((−1, 1), |x|2α+1 dx). This orthonormal system is a generalization of the classical exponential system defining Fourier series.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2007
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-07-08831-4