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Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in $L^{2}$
Published 12 May 2015 in math.CA | (1505.02958v1)
Abstract: We prove sharp Pitt's inequality for the Dunkl transform in $L{2}(\mathbb{R}{d})$ with the corresponding weights. As an application, we obtain the logarithmic uncertainty principle for the Dunkl transform.
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