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Spectral Theory of Families of Self-Adjoint Operators

  • Book
  • © 1991

Overview

Authors:
  1. Y. S. Samoilenko

    1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev, USSR

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Part of the book series: Mathematics and its Applications (MASS, volume 57)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Introduction

    1. Introduction

      • Y. S. Samoilenko
      Pages 1-5

  3. Comments to the Introduction

    1. Comments to the Introduction

      • Y. S. Samoilenko
      Pages 5-5

  5. Inductive Limits of Finite-Dimensional Lie Algebras and their Representations

    1. Front Matter

      Pages 87-88
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    2. Canonical Commutation Relations (CCR) of Systems with Countable Degrees of Freedom

      • Y. S. Samoilenko
      Pages 89-114

    3. Unitary Representations of the Group of Finite SU(2)-Currents on a Countable Set

      • Y. S. Samoilenko
      Pages 115-123

    4. Representations of the Group of Upper Triangular Matrices

      • Y. S. Samoilenko
      Pages 124-144

    5. A Class of Inductive Limits of Groups and their Representations

      • Y. S. Samoilenko
      Pages 145-150

  6. Collections of Unbounded Self-Adjoint Operators Satisfying General Relations

    1. Front Matter

      Pages 151-151
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    2. Anticommuting Self-Adjoint Operators

      • Y. S. Samoilenko
      Pages 152-164

    3. Finite and Countable Collections of Graded-Commuting Self-Adjoint Operators (GCSO)

      • Y. S. Samoilenko
      Pages 165-191

    4. Collections of Unbounded CSO (A k ) and CSO (B k ) Satisfying General Commutation Relations

      • Y. S. Samoilenko
      Pages 192-220

  7. Representations of Operator Algebras and Non-Commutative Random Sequences

    1. Front Matter

      Pages 221-221
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    2. C*-Algebras U ∞0 and their Representations

      • Y. S. Samoilenko
      Pages 222-230

    3. Non-Commutative Random Sequences and Methods for their Construction

      • Y. S. Samoilenko
      Pages 231-242

  8. Back Matter

    Pages 243-293
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Keywords

Authors and Affiliations

  • Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev, USSR

    Y. S. Samoilenko

Bibliographic Information

  • Book Title: Spectral Theory of Families of Self-Adjoint Operators

  • Authors: Y. S. Samoilenko

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-011-3806-2

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1991

  • Hardcover ISBN: 978-0-7923-0703-7Published: 31 January 1991

  • Softcover ISBN: 978-94-010-5693-9Published: 08 November 2013

  • eBook ISBN: 978-94-011-3806-2Published: 06 December 2012

  • Series ISSN: 0169-6378

  • Edition Number: 1

  • Number of Pages: XVI, 293

  • Additional Information: Originally published in Russian

  • Topics: Operator Theory, Topological Groups, Lie Groups, Probability Theory and Stochastic Processes

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