Generalization of Titchmarsh's Theorem for the Dunkl transform

نویسندگان

A. El Houasni Department of Mathematics, Faculty of Science Ain Chock, University Hassan II, Casablanca, Morocco

A. Khadari Department of Mathematics, Faculty of Science Ain Chock, University Hassan II, Casablanca, Morocco

M. El Hamma Department of Mathematics, Faculty of Science Ain Chock, University Hassan II, Casablanca, Morocco

R. Daher Department of Mathematics, Faculty of Science Ain Chock, University Hassan II, Casablanca, Morocco

چکیده مقاله:

Using a generalized spherical mean operator, we obtain the generalizationof Titchmarsh's theorem for the Dunkl transform for functions satisfyingthe Lipschitz condition in L2(Rd;wk), where wk is a weight function invariantunder the action of an associated reection groups.

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Generalization of Titchmarsh's Theorem for the Dunkl Transform

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generalization of titchmarsh's theorem for the dunkl transform

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generalization of titchmarsh's theorem for the dunkl transform

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