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Reproducing kernels for Dunkl polyharmonic polynomials. - MaRDI portal

Reproducing kernels for Dunkl polyharmonic polynomials. (Q2897412)

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scientific article; zbMATH DE number 6054286
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Reproducing kernels for Dunkl polyharmonic polynomials.
scientific article; zbMATH DE number 6054286

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    10 July 2012
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    Dunkl Laplacian
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    reproducing kernel
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    Reproducing kernels for Dunkl polyharmonic polynomials. (English)
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    \textit{H. Render} [Arch. Math. 91, No. 2, 136--144 (2008; Zbl 1151.31007)] determined the reproducing kernel for the space of polyharmonic polynomials of order \(m\) and degree \(n\). The author shows that a similar result holds in the context of Dunkl polyharmonic polynomials.
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