An uncertainty inequality for Fourier–Dunkl series
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摘要
An uncertainty inequality for the Fourier–Dunkl series, introduced by the authors in [Ó. Ciaurri, J.L. Varona, A Whittaker–Shannon–Kotel’nikov sampling theorem related to the Dunkl transform, Proc. Amer. Math. Soc. 135 (2007) 2939–2947], is proved. This result is an extension of the classical uncertainty inequality for the Fourier series.
论文关键词：primary,42C10,secondary,26D10,Uncertainty inequalities,Fourier series,Dunkl operators,Bessel functions
论文评审过程：Received 23 October 2007, Available online 25 February 2009.
论文官网地址：https://doi.org/10.1016/j.cam.2009.02.065
