Title of article
Generalization of Titchmarsh's Theorem for the Dunkl Transform in the Space Lp(Rd;wl(x)dx) [ Generalization of Titchmarsh's Theorem for the Dunkl Transform]
Author/Authors
Dahera, R Department of Mathematics - Faculty of Sciences Ain Chock - University Hassan II - Casablanca, Morocco , El ouadih, S Department of Mathematics - Faculty of Sciences Ain Chock - University Hassan II - Casablanca, Morocco
Pages
7
From page
261
To page
267
Abstract
Abstract. Using a generalized spherical mean operator, we obtain a generalization of Titch-
marsh's theorem for the Dunkl transform for functions satisfying the (φ; p)-Dunkl Lipschitz
condition in the space Lp(Rd;wl(x)dx), 1 < p ⩽ 2, where wl is a weight function invariant
under the action of an associated re
ection group.
Keywords
Generalized spherical mean operator , Dunkl kernel , Dunkl transform
Journal title
Astroparticle Physics
Serial Year
2016
Record number
2438850
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