Back to Search
Start Over
New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry
- Source :
- Opuscula Mathematica, Vol 41, Iss 3, Pp 283-300 (2021)
- Publication Year :
- 2021
- Publisher :
- AGH Univeristy of Science and Technology Press, 2021.
-
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
- Language :
- English
- ISSN :
- 12329274
- Volume :
- 41
- Issue :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- Opuscula Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.0ce49d501bec44aea3813b7f14b001eb
- Document Type :
- article
- Full Text :
- https://doi.org/10.7494/OpMath.2021.41.3.283