<abstract xmlns="http://www.w3.org/1999/xhtml"> In this paper, we consider the Weinstein intertwining operator ℜa, dW and its dual tR a,dW. 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,dW and tR a,dW.</abstract>

In this paper, we consider the Weinstein intertwining operator ℜa, dW and its dual tR a,dW. 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,dW and tR a,dW.

Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper, we consider the Weinstein intertwining operator ℜa, dW and its dual tR a,dW. Using these operators, we give relations between the Weinstein and...

Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets

Published Online: Sep 21, 2017

Page range: 289 - 307

Received: Apr 08, 2014

Accepted: Oct 20, 2014

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

Keywords
Weinstein, intertwining operator, continuous wavelet transform

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets

Published Online: Sep 21, 2017

Page range: 289 - 307

Received: Apr 08, 2014

Accepted: Oct 20, 2014

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

KeywordsWeinstein, intertwining operator, continuous wavelet transform

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Weinstein, intertwining operator, continuous wavelet transform