inversion of the Generalized Dunkl Intertwining Operator on R and its Dual Using Generalized Wavelets

Authors

  • W. Chabeh
  • Mohamed Ali Mourou Girls College of Sciences Dammam University of Dammam Saudi Arabia

Keywords:

differential-difference operator, generalized Dunkl intertwining operator, generalized continuous wavelet transform.

Abstract

We establish an inversion formula for a continuous wavelet transform associated with a class of singular differential-difference operators on R. We apply this result to derive new expressions for the inverse generalized Dunkl intertwining operator and its dual on R.

Author Biography

  • Mohamed Ali Mourou, Girls College of Sciences Dammam University of Dammam Saudi Arabia
    Dammam

Downloads

Published

2010-12-31

Issue

Vol. 3 No. 6 (2010): Special Issue on Complex Analysis:Theory and Applications

Section

Special Issue on Complex Analysis: Theory and Applications

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

inversion of the Generalized Dunkl Intertwining Operator on R and its Dual Using Generalized Wavelets. (2010). European Journal of Pure and Applied Mathematics, 3(6), 958-979. https://www.ejpam.com/index.php/ejpam/article/view/776