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Reproducing kernels for polyharmonic polynomials

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Abstract.

The reproducing kernel of the space of all homogeneous polynomials of degree k and polyharmonic order m is computed explicitly, solving a question of A. Fryant and M. K. Vemuri.

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Authors and Affiliations

  1. Departamento de Matemáticas y Computación, Universidad de La Rioja, Edificio Vives, Luis de Ulloa s/n., 26004, Logroño, Spain

    H. Render

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  1. H. Render
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Correspondence to H. Render.

Additional information

The author is partially supported by Grant MTM2006-13000-C03-03 of the D.G.I. of Spain.

Received: 17 May 2007, Revised: 27 March 2008

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Render, H. Reproducing kernels for polyharmonic polynomials. Arch. Math. 91, 136–144 (2008). https://doi.org/10.1007/s00013-008-2447-9

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  • DOI: https://doi.org/10.1007/s00013-008-2447-9

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