Title of article
Generalization of Titchmarsh’s Theorem for the Dunkl Transform in the Space Lpα(R)
Author/Authors
Daher, R. Department of Mathematics - Faculty of Sciences A¨ın Chock - University of Hassan II, Casablanca, Morocco , Hamma, M. El Department of Mathematics - Faculty of Sciences A¨ın Chock - University of Hassan II, Casablanca, Morocco , Boujeddaine, M. Department of Mathematics and Computer Sciences - Faculty of Sciences -Equipe d’Analyse Harmonique et Probabilites - Universit´e Moulay Isma¨ıl, Mekn`es, Morocco
Pages
5
From page
127
To page
131
Abstract
In this paper, using a generalized Dunkl translation operator, we obtain a gener-alization of Titchmarsh’s Theorem for the Dunkl transform for functions satisfying the(ψ, p)-Lipschitz Dunkl condition in the space Lp,α = Lp(R, |x|2α+1dx), where α > -1 / 2
Keywords
Dunkl operator , Dunkl transform , Generalized translation Dunkl operator
Journal title
Astroparticle Physics
Serial Year
2015
Record number
2437765
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