Document Type
Article
Publication Date
4-19-2021
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.
Recommended Citation
Daniel Alpay, Palle E.T. Jorgensen, New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry, Opuscula Math. 41, no. 3 (2021), 283-300, https://doi.org/10.7494/OpMath.2021.41.3.283
Peer Reviewed
1
Copyright
The authors
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Comments
This article was originally published in Opuscula Mathematica, volume 41, issue 3, in 2021. https://doi.org/10.7494/OpMath.2021.41.3.283