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Elements of harmonic analysis related to the third basic zero order Bessel function
Journal article   Open access  Peer reviewed

Elements of harmonic analysis related to the third basic zero order Bessel function

Néji Bettaibi, Fethi Bouzeffour, Hédi Ben Elmonser and Wafa Binous
Journal of mathematical analysis and applications, Vol.342(2), pp.1203-1219
15/06/2008
DOI: https://doi.org/10.1016/j.jmaa.2008.01.006

Abstract

Basic Bessel functions q-Analysis q-Bessel transforms
This paper is devoted to the study of some q-harmonic analysis related to the third q-Bessel function of order zero. We establish a product formula leading to a q-translation with some positive kernel. As an application, we provide a q-analogue of the continuous wavelet transform related to this harmonic analysis.
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https://doi.org/10.1016/j.jmaa.2008.01.006View
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