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arXiv · 1505.02958

Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in $L^{2}$

Dmitry Gorbachev·Valery Ivanov·Sergey Tikhonov
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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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Dmitry Gorbachev, Valery Ivanov, Sergey Tikhonov. 2015-05-12. Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in $L^{2}$. https://arxiv.org/abs/1505.02958

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