A Fock space approach to the theory of strictly positive kernels

2022/08/05 by Michio Seto, Seto, Michio
Computer Science · Mathematics · #46E22 #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Information Theory (cs.IT) #Mathematical functions and polynomials #Matrix Theory and Algorithms #Random Matrices and Applications

paper · pdf · doi:10.48550/arxiv.2208.02980

openalex publication_date 2022/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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