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

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Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets

Abdessalem Gasmi, Hassen Ben Mohamed and Néji Bettaibi

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică, Vol.24(1), pp.289-307

01/01/2016

DOI: https://doi.org/10.1515/auom-2016-0016

Abstract

42B35

continuous wavelet transform

intertwining operator

Primary 42B10

Secondary 42B35

Weinstein

In this paper, we consider the Weinstein intertwining operator ℜ and its dual R . 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 and R

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Title: Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets
Creators - without role: Abdessalem Gasmi - Taibah University
Hassen Ben Mohamed - University of Gabès
Néji Bettaibi - Qassim University
Publication Details: Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică, Vol.24(1), pp.289-307
Publisher: De Gruyter Open
Number of pages: 19
Identifiers: 9928659608331
Academic Unit: Qassim University; Taibah University
Language: English
Resource Type: Journal article