On the norm of the Lp-Dunkl transform |
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| Authors: | Fethi Bouzeffour |
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| Affiliation: | 1. Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455 Riyadh 11451, Saudi Arabia.fbouzaffour@ksu.edu.sa |
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| Abstract: | In this work, we establish a Babenko–Beckner-type inequality for the Dunkl transform of a radial function and Dunkl transform associated to a finite reflection group generated by the sign changes. As applications, we establish a new version of Young’s-type inequality and uncertainty relation for Renyi entropy. |
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| Keywords: | Fourier transform Dunkl operator Babenko inequality Renyi entropy |
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