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Linear Infinite-Particle Operators
 
V. A. Malyshev INRIA
R. A. Minlos Institute for Problems of Information Transmission
Front Cover for Linear Infinite-Particle Operators
Available Formats:
Hardcover ISBN: 978-0-8218-0283-0
Product Code: MMONO/143
List Price: $128.00
MAA Member Price: $115.20
AMS Member Price: $102.40
Electronic ISBN: 978-1-4704-4560-7
Product Code: MMONO/143.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $192.00
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Front Cover for Linear Infinite-Particle Operators
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  • Front Cover for Linear Infinite-Particle Operators
  • Back Cover for Linear Infinite-Particle Operators
Linear Infinite-Particle Operators
V. A. Malyshev INRIA
R. A. Minlos Institute for Problems of Information Transmission
Available Formats:
Hardcover ISBN:  978-0-8218-0283-0
Product Code:  MMONO/143
List Price: $128.00
MAA Member Price: $115.20
AMS Member Price: $102.40
Electronic ISBN:  978-1-4704-4560-7
Product Code:  MMONO/143.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $192.00
MAA Member Price: $172.80
AMS Member Price: $153.60
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 1431995; 298 pp
    MSC: Primary 82; 47; Secondary 46; 60;

    The main subject of this book can be viewed in various ways. From the standpoint of functional analysis, it studies spectral properties of a certain class of linear operators; from the viewpoint of probability theory, it is concerned with the analysis of singular Markov processes; and, from the vantage point of mathematical physics, it analyzes the dynamics of equilibrium systems in quantum statistical physics and quantum field theory. Malyshev and Minlos describe two new approaches to the subject which have not been previously treated in monograph form. They also present background material which makes the book accessible and useful to researchers and graduate students working in functional analysis, probability theory, and mathematical physics.

    Readership

    Research mathematicians and graduate students working in functional analysis, probability theory, and mathematical physics.

  • Table of Contents
     
     
    • Chapters
    • Introduction. What this book is about
    • Chapter 0. Extended introduction
    • Chapter 1. Construction of a nonequilibrium dynamics
    • Chapter 2. Construction of an equilibrium dynamics
    • Chapter 3. Spectral analysis of the Euclidean field transfer matrix
    • Chapter 4. Asymptotic completeness for interacting Fermion systems
    • Chapter 5. The method of Bethe-Salpeter kernels (Dyson’s equation)
  • Reviews
     
     
    • What distinguishes [the book] from other existing monograph with similar scope … is the emphasis it puts on the contribution of the Moscow school, of which the authors are outstanding representatives. It makes readily available to the mathematical physics community first-hand information on a large piece of relevant work … The elegance and optimal organisation of the exposition in Chapter 3 … is fully rewarding.

      Mathematical Reviews
    • The contents of the book comprises the material that has not been treated previously in any monographs and the well-known ones as well … useful for both researchers and graduate students.

      Zentralblatt MATH
  • Request Review Copy
  • Get Permissions
Volume: 1431995; 298 pp
MSC: Primary 82; 47; Secondary 46; 60;

The main subject of this book can be viewed in various ways. From the standpoint of functional analysis, it studies spectral properties of a certain class of linear operators; from the viewpoint of probability theory, it is concerned with the analysis of singular Markov processes; and, from the vantage point of mathematical physics, it analyzes the dynamics of equilibrium systems in quantum statistical physics and quantum field theory. Malyshev and Minlos describe two new approaches to the subject which have not been previously treated in monograph form. They also present background material which makes the book accessible and useful to researchers and graduate students working in functional analysis, probability theory, and mathematical physics.

Readership

Research mathematicians and graduate students working in functional analysis, probability theory, and mathematical physics.

  • Chapters
  • Introduction. What this book is about
  • Chapter 0. Extended introduction
  • Chapter 1. Construction of a nonequilibrium dynamics
  • Chapter 2. Construction of an equilibrium dynamics
  • Chapter 3. Spectral analysis of the Euclidean field transfer matrix
  • Chapter 4. Asymptotic completeness for interacting Fermion systems
  • Chapter 5. The method of Bethe-Salpeter kernels (Dyson’s equation)
  • What distinguishes [the book] from other existing monograph with similar scope … is the emphasis it puts on the contribution of the Moscow school, of which the authors are outstanding representatives. It makes readily available to the mathematical physics community first-hand information on a large piece of relevant work … The elegance and optimal organisation of the exposition in Chapter 3 … is fully rewarding.

    Mathematical Reviews
  • The contents of the book comprises the material that has not been treated previously in any monographs and the well-known ones as well … useful for both researchers and graduate students.

    Zentralblatt MATH
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