Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets

Abdessalem Gasmi; Hassen Ben Mohamed; Néji Bettaibi

doi:10.1515/auom-2016-0016

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Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 24 (2016): Issue 1 (January 2016)

By: Abdessalem Gasmi, Hassen Ben Mohamed and Néji Bettaibi

Open Access

|Sep 2017

Abstract

In this paper, we consider the Weinstein intertwining operator ℜ^{a, d}_W and its dual ^tR ^a,d_W. Using these operators, we give relations between the Weinstein and the classical continuous wavelet transforms. Finally, using the Weinstein continuous wavelet transform, we deduce the formulas which give the inverse operators of R ^a,d_W and ^tR ^a,d_W.

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2016-0016 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 289 - 307

Submitted on: Apr 8, 2014

Accepted on: Oct 20, 2014

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Weinstein,

intertwining operator,

continuous wavelet transform

Related subjects:

Mathematics,

General mathematics

© 2017 Abdessalem Gasmi, Hassen Ben Mohamed, Néji Bettaibi, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 24 (2016): Issue 1 (January 2016)