Journal article
Reproducing kernels and choices of associated feature spaces, in the form of L-2-spaces
Journal of mathematical analysis and applications, Vol.505(2), 125535
01/15/2022
DOI: 10.1016/j.jmaa.2021.125535
Abstract
Motivated by applications to the study of stochastic processes, we introduce a new analysis of positive definite kernels K, their reproducing kernel Hilbert spaces (RKHSs), and an associated family of feature spaces that may be chosen in the form L-2(mu). We study the question of which measures mu are right for a particular kernel K. The answer to this depends on the particular application at hand. Such applications are the focus of the present paper. (C) 2021 Elsevier Inc. All rights reserved.
Details
- Title: Subtitle
- Reproducing kernels and choices of associated feature spaces, in the form of L-2-spaces
- Creators
- Palle Jorgensen - Univ Iowa, Dept Math, Iowa City, IA 52242 USAJames Tian - Mathematical Reviews, 416 4th Street Ann Arbor, MI 48103-4816, USA
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical analysis and applications, Vol.505(2), 125535
- DOI
- 10.1016/j.jmaa.2021.125535
- ISSN
- 0022-247X
- eISSN
- 1096-0813
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Number of pages
- 31
- Grant note
- DOI: 10.13039/100008893, name: University of Iowa
- Language
- English
- Date published
- 01/15/2022
- Academic Unit
- Mathematics
- Record Identifier
- 9984240770702771
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