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An Analog of Titchmarsh's Theorem for the Dunkl Transform in the Space L^2_α(R)
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نویسنده
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Daher R. ,El Hamma M.
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منبع
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international journal of nonlinear analysis and applications - 2012 - دوره : 3 - شماره : 1 - صفحه:55 -60
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چکیده
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In this paper, using a generalized dunkl translation operator, we obtain an analog of titchmarsh'stheorem for the dunkl transform for functions satisfying the lipschitz-dunkl condition in $mathrm{l}_{2,alpha}=mathrm{l}_{alpha}^{2}(mathbb{r})=mathrm{l}^{2}(mathbb{r}, |x|^{2alpha+1}dx), alpha>frac{-1}{2}$.
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کلیدواژه
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Dunkl Operator ,Dunkl Transform ,Generalized Dunkl Translation.
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آدرس
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University Hassan II, Faculty of Science Ain Chock, Department of Mathematics, Morocco, University Hassan II, Faculty of Science Ain Chock, Department of Mathematics, Morocco
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پست الکترونیکی
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m_elhamma@yahoo.fr
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Authors
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