New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry

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 de...

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Bibliographic Details
Main Authors: Daniel Alpay, Palle E.T. Jorgensen
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2021-04-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol41/3/art/opuscula_math_4115.pdf