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 inJournal of computational and applied mathematics Vol. 99; no. 1; pp. 413 - 422
Main Author Alpay, D.
Format Journal Article Conference Proceeding
LanguageEnglish
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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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
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ObjectType-Conference Paper-1
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SourceType-Conference Papers & Proceedings-1
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ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(98)00174-5