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Archiv der Mathematik
Article . 2008 . Peer-reviewed
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Article . 2014
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Reproducing kernels for polyharmonic polynomials

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2008 English Publisher:Springer Science and Business Media LLCJournal:Archiv der Mathematik, volume 91, pages 136-144 (issn: 0003-889X, eissn: 1420-8938, Copyright policy )Publicly funded
Authors: Render, Hermann;

doi: 10.1007/s00013-008-2447-9

handle: 10197/5499

Reproducing kernels for polyharmonic polynomials

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.

Related Organizations
Keywords

Reproducing kernel, Polyharmonic function, Zonal harmonic, Pythagorean identity

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
hybrid