- Tytuł:
- New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry
- Autorzy:
-
Alpay, Daniel
Jorgensen, Palle E.T. - Powiązania:
- https://bibliotekanauki.pl/articles/2051893.pdf
- Data publikacji:
- 2021
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
reproducing kernel
positive definite functions
approximation
algorithms
measures
stochastic processes - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2021, 41, 3; 283-300
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł