A Fock space approach to the theory of strictly positive kernels

Abstract

In this paper, we give a new approach to the theory of strictly positive kernels. Our method is based on the structure of Fock spaces. As its applications, various examples of strictly positive kernels are given. Moreover, we give a new proof of the universal approximation theorem for the Gauss kernel.

This is the new version of "A Fock space approach to the theory of strictly positive kernels". Since we revised and extended the previous version largely, the new title was given