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

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Published

2010-12-31

Issue

Section

Special Issue on Complex Analysis: Theory and Applications

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