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
Pages
6
From page
55
To page
60
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
Serial Year
2012
Record number
2441850
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