An analog of Titchmarsh's theorem for the Dunkl transform in the space $mathrm{L}_{alpha}^{2}(mathbb{R})$
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Abstract:
In this paper, using a generalized Dunkl translation operator, we obtain an analog of Titchmarsh's Theorem 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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Journal title
volume 3 issue 1
pages 55- 60
publication date 2012-01-01
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