Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory / Edition 1

Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory / Edition 1

by P. Feinsilver, Ren? Schott
     
 

ISBN-10: 0792321162

ISBN-13: 9780792321163

Pub. Date: 01/31/1993

Publisher: Springer Netherlands

This is the first of three volumes which present, in an original way, some of the most important tools of applied mathematics, in areas such as probability theory, operator calculus, representation theory, and special functions, used in solving problems in mathematics, physics and computer science.
Volume I - Representations and Probability Theory - deals with

Overview

This is the first of three volumes which present, in an original way, some of the most important tools of applied mathematics, in areas such as probability theory, operator calculus, representation theory, and special functions, used in solving problems in mathematics, physics and computer science.
Volume I - Representations and Probability Theory - deals with probability theory in connection with group representations. It presents an introduction to Lie algebras and Lie groups which emphasises the connections with probability theory and representation theory. The book contains an introduction and seven chapters which treat, respectively, noncommutative algebra, hypergeometric functions, probability and Fock spaces, moment systems, Bernoulli processes/systems, and matrix elements.
Each chapter contains exercises which range in difficulty from easy to advanced. The text is written so as to be suitable for self-study for both beginning graduate students and researchers.
For students, teachers and researchers with an interest in algebraic structures and operator calculus.

Product Details

ISBN-13:
9780792321163
Publisher:
Springer Netherlands
Publication date:
01/31/1993
Series:
Mathematics and Its Applications (closed) Series, #241
Edition description:
1993
Pages:
226
Product dimensions:
6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Preface. Introduction. 1. Introductory Noncommutative Algebra. 2. Hypergeometric Functions. 3. Probability and Fock Spaces. 4. Moment Systems. 5. Bernoulli Processes. 6. Bernoulli Systems. 7. Matrix Elements. References. Index.

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