Relative reproducing kernel Hilbert spaces

Daniel Alpay; Palle Jorgensen; Dan Volok

doi:10.1090/S0002-9939-2014-12121-6

Relative reproducing kernel Hilbert spaces

Daniel Alpay, Palle Jorgensen, Dan Volok

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

We introduce a reproducing kernel structure for Hilbert spaces of functions where differences of point evaluations are bounded. The associated reproducing kernels are characterized in terms of conditionally negative functions.

Original language	English
Pages (from-to)	3889-3895
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	142
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-2014-12121-6
State	Published - 1 Jan 2014
Externally published	Yes

Keywords

Conditionally negative functions
Reproducing kernels
Unbounded operators

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-2014-12121-6

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title = "Relative reproducing kernel Hilbert spaces",

abstract = "We introduce a reproducing kernel structure for Hilbert spaces of functions where differences of point evaluations are bounded. The associated reproducing kernels are characterized in terms of conditionally negative functions.",

keywords = "Conditionally negative functions, Reproducing kernels, Unbounded operators",

author = "Daniel Alpay and Palle Jorgensen and Dan Volok",

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year = "2014",

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doi = "10.1090/S0002-9939-2014-12121-6",

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AU - Volok, Dan

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KW - Conditionally negative functions

KW - Reproducing kernels

KW - Unbounded operators

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Relative reproducing kernel Hilbert spaces

Abstract

Keywords

ASJC Scopus subject areas

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