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Béchir Amri

  1. Riesz transforms for Dunkl transform.

    Втр, 05/10/2011 - 15:01 — SomNambul
    Authors: Béchir Amri, Mohamed Sifi
    Subjects: Classical Analysis and ODEs
    Abstract

    In this paper we obtain the $L^p$-boundedness of Riesz transforms for Dunkl
    transform for all $1<p<\infty$.

  2. Three results in Dunkl theory.

    Пнд, 10/05/2009 - 20:24 — SomNambul
    Authors: B&#xe9;chir Amri, Jean-Philippe Anker, Mohamed Sifi
    Subjects: Classical Analysis and ODEs
    Abstract

    In this article, we establish first a geometric Paley-Wiener theorem for the
    Dunkl transform in the crystallographic case. Next we obtain an optimal bound
    for the $L^p\to L^p$ norm of Dunkl translations in dimension 1. Finally we
    describe more precisely the support of the distribution associated to Dunkl
    translations in higher dimension.

  3. Three results in Dunkl theory.

    Пнд, 10/05/2009 - 20:24 — SomNambul
    Authors: B&#xe9;chir Amri, Jean-Philippe Anker, Mohamed Sifi
    Subjects: Classical Analysis and ODEs
    Abstract

    In this article, we establish first a geometric Paley-Wiener theorem for the
    Dunkl transform in the crystallographic case. Next we obtain an optimal bound
    for the $L^p\to L^p$ norm of Dunkl translations in dimension 1. Finally we
    describe more precisely the support of the distribution associated to Dunkl
    translations in higher dimension.

Math-arch

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