A structure theorem for reproducing kernel Pontryagin spaces

We illustrate a relationship between reproducing kernel spaces and orthogonal polynomials via a general structure theorem. The Christofell-Darboux formula emerges as a limit case.

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Bibliographic Details
Published in:	Journal of computational and applied mathematics Vol. 99; no. 1; pp. 413 - 422
Main Author:	Alpay, D.
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Amsterdam Elsevier B.V 16-11-1998 Elsevier
Subjects:	Exact sciences and technology Functional analysis Group theory Group theory and generalizations Mathematical analysis Mathematics Reproducing kernel spaces Sciences and techniques of general use Special functions Structured kernels Structured kernels Reproducing kernel spaces Kernels Reproducing kernel Structure theorem Hilbert space Special function Orthogonal polynomial
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Description
Summary:	We illustrate a relationship between reproducing kernel spaces and orthogonal polynomials via a general structure theorem. The Christofell-Darboux formula emerges as a limit case.
Bibliography:	SourceType-Scholarly Journals-2 ObjectType-Feature-2 ObjectType-Conference Paper-1 content type line 23 SourceType-Conference Papers & Proceedings-1 ObjectType-Article-3
ISSN:	0377-0427 1879-1778
DOI:	10.1016/S0377-0427(98)00174-5