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Lax-Phillips Scattering and Conservative Linear Systems : A Cuntz-Algebra Multidimensional Setting.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2005Copyright date: ©2005Edition: 1st edDescription: 1 online resource (114 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470404383
Subject(s): Genre/Form: Additional physical formats: Print version:: Lax-Phillips Scattering and Conservative Linear SystemsDDC classification:
  • 510 s;515/.724
LOC classification:
  • QA329 -- .B35 2005eb
Online resources:
Contents:
Intro -- Contents -- Chapter 1. Introduction -- Chapter 2. Functional Models for Row-Isometric/Row-Unitary Operator Tuples -- 2.1. The classical case -- 2.2. Functional models of noncommutative formal power series -- 2.3. Hardy subspaces -- 2.4. Intertwining operators -- Chapter 3. Cuntz Scattering Systems -- 3.1. Basic geometric structure of Cuntz scattering systems -- 3.2. The scattering function and models for Cuntz scattering systems -- 3.3. The colligation associated with a Cuntz scattering system -- Chapter 4. Unitary Colligations -- 4.1. Preliminaries -- 4.2. The Cuntz scattering system associated with a unitary colligation U and Cuntz weight W* -- Chapter 5. Scattering, Systems and Dilation Theory: the Cuntz-Toeplitz Setting -- 5.1. Outgoing Cuntz scattering systems -- 5.2. Cuntz unitary colligations and outgoing Cuntz scattering systems -- 5.3. Model theory for row contractions -- 5.4. Realization theory -- Bibliography.
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Intro -- Contents -- Chapter 1. Introduction -- Chapter 2. Functional Models for Row-Isometric/Row-Unitary Operator Tuples -- 2.1. The classical case -- 2.2. Functional models of noncommutative formal power series -- 2.3. Hardy subspaces -- 2.4. Intertwining operators -- Chapter 3. Cuntz Scattering Systems -- 3.1. Basic geometric structure of Cuntz scattering systems -- 3.2. The scattering function and models for Cuntz scattering systems -- 3.3. The colligation associated with a Cuntz scattering system -- Chapter 4. Unitary Colligations -- 4.1. Preliminaries -- 4.2. The Cuntz scattering system associated with a unitary colligation U and Cuntz weight W* -- Chapter 5. Scattering, Systems and Dilation Theory: the Cuntz-Toeplitz Setting -- 5.1. Outgoing Cuntz scattering systems -- 5.2. Cuntz unitary colligations and outgoing Cuntz scattering systems -- 5.3. Model theory for row contractions -- 5.4. Realization theory -- Bibliography.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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