Generalized Reproducing Kernels and Generalized Delta Functions

被引：0

作者：

Saitoh, S. ^{[1
]}

Sawano, Y. ^{[2
]}

机构：

[1] Inst Reproducing Kernels, Kawauchi Cho 5-1648-16, Kiryu, Gunma 3760041, Japan

[2] Tokyo Metropolitan Univ, Dept Math & Informat Sci, 1-1 Minami Ohsawa, Hachioji, Tokyo 1920397, Japan

来源：

NEW TRENDS IN ANALYSIS AND INTERDISCIPLINARY APPLICATIONS | 2017年

关键词：

Complete orthonormal basis; Completion; Generalized delta function; Generalized reproducing kernel; Initial value problem; Positive definite quadratic form function; Positive matrix; Reproducing kernel;

D O I：

10.1007/978-3-319-48812-7_50

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we shall state a simple and generalmeaning for reproducing kernels. We would like to answer a general and essential question that: what are reproducing kernels? By considering this basic problem, we were able to obtain a general concept of the generalized delta function as a generalized reproducing kernel and, as a general reproducing kernel Hilbert space, we can consider all separable Hilbert spaces consisting of functions.

引用

页码：395 / 400

页数：6

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