Uncertainty principles for the Dunkl transform (Q614522)
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scientific article; zbMATH DE number 5831952
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uncertainty principles for the Dunkl transform |
scientific article; zbMATH DE number 5831952 |
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Uncertainty principles for the Dunkl transform (English)
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3 January 2011
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The uncertainty principle for the classical Fourier transform was proved by many mathematicians including Hardy and Beurling and its \(L^p\) version was proved by Cowling and Price. The above results for the Fourier transform were generalized to the Dunkl transform by Gallardo, Trimèche. The authors obtain a generalization and a variant of these results and Donoho-Stark's uncertainty principle for the Dunkl transform.
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Dunkl transform
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uncertainty principle
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Hardy's theorem
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Cowling--Price's theorem
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Beurling's theorem
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Donoho--Stark's uncertainty principle
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0.96265435
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0.96004343
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0.9599326
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0.9547491
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0.9331023
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0.9233417
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