Journal article
New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry
Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica, Vol.41(3), pp.283-300
04/01/2021
DOI: 10.7494/OpMath.2021.41.3.283
Abstract
We give two new global and algorithmic constructions of the reproducing kernel Hilbert space associated to a positive definite kernel. We further present a general positive definite kernel setting using bilinear forms, and we provide new examples. Our results cover the case of measurable positive definite kernels, and we give applications to both stochastic analysis and metric geometry and provide a number of examples.
Details
- Title: Subtitle
- New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry
- Creators
- Daniel Alpay - Chapman UniversityPalle E.T. Jorgensen - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica, Vol.41(3), pp.283-300
- Publisher
- AGH Univeristy of Science and Technology Press
- DOI
- 10.7494/OpMath.2021.41.3.283
- ISSN
- 1232-9274
- eISSN
- 2300-6919
- Language
- English
- Date published
- 04/01/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984240767802771
Metrics
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