An uncertainty inequality for Fourier–Dunkl series

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• 作者：Ó ; scar Ciaurri ; Juan L. Varona
• 关键词：Uncertainty inequalities ; Fourier series ; Dunkl operators ; Bessel functions
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2010
• 出版时间：15 January 2010
• 年：2010
• 卷：233
• 期：6
• 页码：1499-1504
• 全文大小：395 K

文摘

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.