Multi-operator colligations and multivariate characteristic functions

被引：11
|
作者：
Neretin, Yury A. [1 ,2 ]
机构：
[1] Univ Vienna, Dept Math, Vienna, Austria
[2] Inst Theoret & Expt Phys, Moscow 117259, Russia
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2011年 / 1卷 / 2-3期
基金：
奥地利科学基金会;
关键词：
Characteristic Function; Conjugacy Class; Classical Group; Unitary Matrice; Double Coset;
D O I：
10.1007/s13324-011-0009-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the spectral theory of non-self-adjoint operators there is a well-known operation of product of operator colligations. Many similar operations appear in the theory of infinite-dimensional classical groups as multiplications of double cosets. We construct characteristic functions for such double cosets and get semigroups of inner matrix-valued functions in matrix balls.
引用
收藏
页码：121 / 138
页数：18
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