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Operator-valued Bergman inner functions as transfer functions

Olofsson, Anders LU (2008) In St. Petersburg Mathematical Journal 19(4). p.603-623
Abstract
An explicit construction characterizing the operator-valued Bergman inner functions is given for a class of vector-valued standard weighted Bergman spaces in the unit disk. These operator-valued Bergman inner functions act as contractive multipliers from the Hardy space into the associated Bergman space, and they have a natural interpretation as transfer functions for a related class of discrete time linear systems. This points to a new interaction between the fields of invariant subspace theory and mathematical systems theory.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
St. Petersburg Mathematical Journal
volume
19
issue
4
pages
603 - 623
publisher
American Mathematical Society (AMS)
external identifiers
  • scopus:85009814462
ISSN
1061-0022
language
English
LU publication?
yes
additional info
Algebra i Analiz 19 (2007) 146-173 St Petersburg Mathematical Journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.
id
b05b8db0-5bbb-42b3-b60d-47de3061af8a (old id 1397919)
alternative location
http://www.ams.org/spmj/2008-19-04/S1061-0022-08-01013-3/S1061-0022-08-01013-3.pdf
date added to LUP
2016-04-04 08:25:29
date last changed
2022-01-29 03:26:45
@article{b05b8db0-5bbb-42b3-b60d-47de3061af8a,
  abstract     = {{An explicit construction characterizing the operator-valued Bergman inner functions is given for a class of vector-valued standard weighted Bergman spaces in the unit disk. These operator-valued Bergman inner functions act as contractive multipliers from the Hardy space into the associated Bergman space, and they have a natural interpretation as transfer functions for a related class of discrete time linear systems. This points to a new interaction between the fields of invariant subspace theory and mathematical systems theory.}},
  author       = {{Olofsson, Anders}},
  issn         = {{1061-0022}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{603--623}},
  publisher    = {{American Mathematical Society (AMS)}},
  series       = {{St. Petersburg Mathematical Journal}},
  title        = {{Operator-valued Bergman inner functions as transfer functions}},
  url          = {{http://www.ams.org/spmj/2008-19-04/S1061-0022-08-01013-3/S1061-0022-08-01013-3.pdf}},
  volume       = {{19}},
  year         = {{2008}},
}