Title of article :
An Analog of Titchmarsh's Theorem for the Dunkl Transform in the Space L2 α(R)
Author/Authors :
Daher, R. Department of Mathematics - Faculty of Science Ain Chock - University Hassan II - Casablanca, Morocco , El Hamma, M Department of Mathematics - Faculty of Science Ain Chock - University Hassan II - Casablanca, Morocco
Abstract :
In this paper, using a generalized Dunkl translation operator, we obtain an analog of Titchmarsh's
Theorem for the Dunkl transform for functions satisfying the Lipschitz-Dunkl condition in L2;α =
L2
α(R) = L2(R; ǁxǁ2α+1dx); α > 1-
2 .
Keywords :
Dunkl Operator , Dunkl Transform , Generalized Dunkl Translation
Journal title :
Astroparticle Physics
