The Delsarte extremal problem for the Jacobi transform (Q520578)
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scientific article; zbMATH DE number 6701359
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Delsarte extremal problem for the Jacobi transform |
scientific article; zbMATH DE number 6701359 |
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The Delsarte extremal problem for the Jacobi transform (English)
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5 April 2017
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The authors propose a solution procedure for one type of the Delsarte problem for the Jacobi transform, the kernel of which is an eigenfunction of the Sturm-Liouville problem with a special weight function. The Jacobi transform is reduced to Fourier cosine transform in case of a special choice of weight function parameters. The solution of the Delsarte problem for the Jacobi transform leads subsequently to the solution of the Delsarte problem for the Fourier transform on a hyperboloid.
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Delsarte extremal problem
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Jacobi transform
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hyperbolic weight
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Jacobi function
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quadrature Markov formula
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