**Translations of Mathematical Monographs**

1995;
298 pp;
Hardcover

MSC: Primary 82; 47;
Secondary 46; 60

**Print ISBN: 978-0-8218-0283-0
Product Code: MMONO/143**

List Price: $125.00

Individual Member Price: $100.00

# Linear Infinite-Particle Operators

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*V. A. Malyshev; R. A. Minlos*

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.

#### Reviews & Endorsements

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