Some Generalized $q$-Bessel Type Wavelets and Associated Transforms
Functional Analysis
2017-05-02 v1
Abstract
In this paper wavelet functions are introduced in the context of -theory. We precisely extend the case of Bessel and -Bessel wavelets to the generalized -Bessel wavelets. Starting from the -extension () of the -case, associated generalized -wavelets and generalized -wavelet transforms are then developed for the new context. Reconstruction and Plancherel type formulas are proved.
Cite
@article{arxiv.1705.00236,
title = {Some Generalized $q$-Bessel Type Wavelets and Associated Transforms},
author = {Imen Rezgui and Anouar Ben Mabrouk},
journal= {arXiv preprint arXiv:1705.00236},
year = {2017}
}
Comments
17 pages