Multi-operator colligations and multivariate characteristic functions
Functional Analysis
2012-11-27 v1 Representation Theory
Abstract
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 groups as multiplications of double cosets. We construct characteristic functions for such double cosets and get semigroups of matrix-valued functions in matrix balls.
Cite
@article{arxiv.1006.2275,
title = {Multi-operator colligations and multivariate characteristic functions},
author = {Yury A. Neretin},
journal= {arXiv preprint arXiv:1006.2275},
year = {2012}
}
Comments
15pp