Year: 2018
Analysis in Theory and Applications, Vol. 34 (2018), Iss. 1 : pp. 57–76
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2018.v34.n1.5
Analysis in Theory and Applications, Vol. 34 (2018), Iss. 1 : pp. 57–76
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Wavelets Besel function q-Bessel function modified Bessel functions generalized q-Bessel functions q-Bessel wavelets.
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On some q-Bessel type continuous wavelet transform
Mabrouk, Anouar Ben
Rezgui, Imen
Boletim da Sociedade Paranaense de Matemática, Vol. 42 (2024), Iss. P.1
https://doi.org/10.5269/bspm.62547 [Citations: 0]