Reproducing kernels for polyharmonic polynomials (Q944201)
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scientific article; zbMATH DE number 5343872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reproducing kernels for polyharmonic polynomials |
scientific article; zbMATH DE number 5343872 |
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Reproducing kernels for polyharmonic polynomials (English)
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12 September 2008
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The author computes explicitly the reproducing kernel of the space of all homogeneous polynomials of degree \(k\) and polyharmonic order \(m\). He answers thus a question of \textit{A. Fryant} and \textit{M. K. Vemuri} [Int. J. Math. Math. Sci. 29, No. 2, 115--119 (2002; Zbl 1001.31006)].
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polyharmonic function
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zonal harmonic
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pythagorean identity
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