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

Department of Mathematics

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

21 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

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

Cite this

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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",

note = "Publisher Copyright: {\textcopyright} 2014 American Mathematical Society.",

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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AB - 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.

KW - Conditionally negative functions

KW - Reproducing kernels

KW - Unbounded operators

UR - https://www.scopus.com/pages/publications/84923037304

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DO - 10.1090/S0002-9939-2014-12121-6

M3 - Article

AN - SCOPUS:84923037304

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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ER -

Relative reproducing kernel Hilbert spaces

Abstract

Keywords

ASJC Scopus subject areas

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