@Article{ATA-34-57,
author = {Imen Rezgui and Anouar Ben Mabrouk},
title = {Some Generalized $q$-Bessel Type Wavelets and Associated Transforms},
journal = {Analysis in Theory and Applications},
year = {2018},
volume = {34},
number = {1},
pages = {57--76},
abstract = {<p style="text-align: justify;">In this paper wavelet functions are introduced in the context of $q$-theory. We
precisely extend the case of Bessel and $q$-Bessel wavelets to the generalized $q$-Bessel
wavelets. Starting from the $(q,v)$-extension $(v = (α,β))$ of the $q$-case, associated generalized $q$-wavelets and generalized $q$-wavelet transforms are developed for the new
context. Reconstruction and Placherel type formulas are proved.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2018.v34.n1.5},
url = {http://global-sci.org/intro/article_detail/ata/12545.html}
}