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.
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页码：395 / 400
页数：6
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