Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets-Reference-Cited by-同舟云学术

Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets

Published:2016-01-01 Issue:1 Volume:24 Page:289-307
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Gasmi Abdessalem¹,Ben Mohamed Hassen²,Bettaibi Néji³

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Taibah University, Medina , Saudi Arabia

2. Department of Mathematics, Faculty of Sciences of Gabes, Gabes University, Gabes , Tunisia

3. Department of Mathematics, Faculty of Sciences, Qassim University, Buraydah , Saudi Arabia

Abstract

Abstract In this paper, we consider the Weinstein intertwining operator ℜa, 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.

Publisher

Walter de Gruyter GmbH

Reference16 articles.

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