GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$

نویسندگان

  • Elhamma Mohamed
  • Hind Lahlai
  • Radouan Daher
چکیده مقاله:

In this paper‎, ‎using a generalized Dunkl translation operator‎, ‎we obtain a generalization of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the$(psi,p)$-Lipschitz Dunkl condition in the space $mathrm{L}_{p,alpha}=mathrm{L}^{p}(mathbb{R},|x|^{2alpha+1}dx)$‎, ‎where $alpha>-frac{1}{2}$.  

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عنوان ژورنال

دوره 5  شماره 2 (SPRING)

صفحات  127- 131

تاریخ انتشار 2015-03-21

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