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
Link To Document :
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