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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:342

Article

Bettaibi, Neji²  Bouzeffour, Fethi¹  Ben Elmonser, Hedi¹  Binous, Wafa³ 

[1] Inst Preparatoire Etudes Ingn Bizerte, Monastir, Tunisia

[2] Inst Preparatoire Etudes Ingn Monastir, Monastir 5000, Tunisia

[3] Inst Biotechnol Beja, Monastir, Tunisia

关键词: basic Bessel functions;    q-analysis;    q-Bessel transforms;   

DOI  :  10.1016/j.jmaa.2008.01.006

来源: Elsevier

【 摘 要 】

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. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free