Pitt's inequality and logarithmic uncertainty principle for the Dunkl transform on \(\mathbb R\) (Q397052)
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scientific article; zbMATH DE number 6330524
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pitt's inequality and logarithmic uncertainty principle for the Dunkl transform on \(\mathbb R\) |
scientific article; zbMATH DE number 6330524 |
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Pitt's inequality and logarithmic uncertainty principle for the Dunkl transform on \(\mathbb R\) (English)
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14 August 2014
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The author proves Pitt's inequality as well as a related version of the uncertainty principle for the Dunkl transform on the real axis. Note that corresponding results on Euclidean spaces can be found in the author's paper: \textit{F. Soltani} [Integral Transforms Spec. Funct. 25, No. 9, 686--696 (2014; Zbl 1305.44005)].
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Dunkl transform
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Pitt's inequality
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logarithmic uncertainty principle
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Dunkl-Bessel potential
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Stein-Weiss inequality
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