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Some Generalized q-Bessel Type Wavelets and Associated Transforms

Some Generalized $q$-Bessel Type Wavelets and Associated Transforms

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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