Uncertainty principles for the Jacobi transform (Q946988)
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scientific article; zbMATH DE number 5347988
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uncertainty principles for the Jacobi transform |
scientific article; zbMATH DE number 5347988 |
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Uncertainty principles for the Jacobi transform (English)
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29 September 2008
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This paper gives some estimates of the \(L^p\)-norm of the Jacobi transform \(\hat f_{\alpha, \beta}(\lambda)\) with respect to a certain measure. The main theorem is an uncertainty principle that bounds the product of the ``moments'' of \(f\) and \(\hat f\) from below. An uncertainty principle on \(SU(1,1)\) is also obtained.
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Uncertainty Principle
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Jacobi transform
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SU(1, 1)
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spherical transform
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