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Elements of harmonic analysis related to the third basic zero order Bessel function |
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| Authors: | Néji Bettaibi Fethi Bouzeffour |
| Institution: | a Institut Préparatoire aux Études d'Ingénieur de Monastir, 5000 Monastir, Tunisia b Institut Préparatoire aux Études d'Ingénieur de Bizerte, Tunisia c Institut de Biotechnologie de Béjà, Tunisia |
| Abstract: | 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. |
| Keywords: | Basic Bessel functions q-Analysis q-Bessel transforms |
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