TY  - JOUR
ID  - Alpay2021
LB  - Alpay2021
AU  - Alpay, Daniel
AU  - Jorgensen, Palle E.T.
TI  - New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry
ST  - New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2021
VL  - 41
IS  - 3
SP  - 283
EP  - 300
DO  - https://doi.org/10.7494/OpMath.2021.41.3.283
UR  - https://doi.org/10.7494/OpMath.2021.41.3.283
AB  - 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.
KW  - reproducing kernel
KW  - positive definite functions
KW  - approximation
KW  - algorithms
KW  - measures
KW  - stochastic processes
SN  - 1232-9274
ER  -