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Relative reproducing kernel Hilbert spaces


Authors: Daniel Alpay, Palle Jorgensen and Dan Volok
Journal: Proc. Amer. Math. Soc. 142 (2014), 3889-3895
MSC (2010): Primary 46E22, 47B32, 42A82
DOI: https://doi.org/10.1090/S0002-9939-2014-12121-6
Published electronically: July 17, 2014
MathSciNet review: 3251728
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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.


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Additional Information

Daniel Alpay
Affiliation: Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Be’er Sheva 84105, Israel
Email: dany@math.bgu.ac.il

Palle Jorgensen
Affiliation: Department of Mathematics, 14 MLH, The University of Iowa, Iowa City, Iowa 52242-1419
Email: jorgen@math.uiowa.edu

Dan Volok
Affiliation: Department of Mathematics, 138 Cardwell Hall, Kansas State University, Manhattan, Kansas 66506
Email: danvolok@math.ksu.edu

DOI: https://doi.org/10.1090/S0002-9939-2014-12121-6
Keywords: Reproducing kernels, conditionally negative functions, unbounded operators
Received by editor(s): November 7, 2012
Received by editor(s) in revised form: December 6, 2012
Published electronically: July 17, 2014
Additional Notes: The first author thanks the Earl Katz family for endowing the chair which supported his research. The research of the authors was supported in part by the Binational Science Foundation grant No. 2010117.
Communicated by: Pamela B. Gorkin
Article copyright: © Copyright 2014 American Mathematical Society

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