Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223220120601Generalization of Titchmarsh's Theorem for the Dunkl transform24303610.22075/ijnaa.2012.36ENM. El HammaDepartment of Mathematics, Faculty of Science Ain Chock, University Hassan
II, Casablanca, MoroccoR. DaherDepartment of Mathematics, Faculty of Science Ain Chock, University Hassan
II, Casablanca, MoroccoA. El HouasniDepartment of Mathematics, Faculty of Science Ain Chock, University Hassan
II, Casablanca, MoroccoA. KhadariDepartment of Mathematics, Faculty of Science Ain Chock, University Hassan
II, Casablanca, MoroccoJournal Article20120105Using a generalized spherical mean operator, we obtain the generalization of Titchmarsh's theorem for the Dunkl transform for functions satisfying the Lipschitz condition in L2(Rd;wk), where wk is a weight function invariant under the action of an associated reection groups.https://ijnaa.semnan.ac.ir/article_36_9427900803b7cbbfe2f444c6f482eabb.pdf