Pasting Reproducing Kernel Hilbert Spaces

被引：0
|
作者：
Sawano, Yoshihiro [1 ]
机构：
[1] 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：
Pasting; Reproducing kernel Hilbert spaces; Restriction;
D O I：
10.1007/978-3-319-48812-7_51
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this article is to find the necessary and sufficient condition for the mapping H-K(E) is an element of f -> (f vertical bar E-1,E- f vertical bar E-2) is an element of H-K vertical bar E1 xE2(E-1) circle plus H-K vertical bar E2xE2(E-2) to be isomorphic, where K is a positive definite function on E = E-1 + E-2. As an application, the Binet-Cauchy equality and its variant are considered.
引用
收藏
页码：401 / 407
页数：7
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