A glimpse at the Dunkl-Williams inequality

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An uncertainty inequality for Fourier-Dunkl series

An uncertainty inequality for the Fourier–Dunkl series, introduced by the authors in [Ó. Ciaurri and 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.

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ژورنال

عنوان ژورنال: Banach Journal of Mathematical Analysis

سال: 2011

ISSN: 1735-8787

DOI: 10.15352/bjma/1313363010