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Algebraic Structures and Operator Calculus : Algebraic Structures and Operator Calculus Representations and Probability Theory Volume 1 - Philip J. Feinsilver

Algebraic Structures and Operator Calculus

Algebraic Structures and Operator Calculus Representations and Probability Theory Volume 1

Hardcover

Published: 31st January 1993
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  • Paperback View Product Published: 21st September 2012
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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.

Preface
Introduction
Introductory Noncommutative Algebra
Hypergeometric functions
Probability and Fock Spaces
Moment Systems
Bernoulli Processes
Bernoulli Systems
Matrix Elements
References
Index
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792321163
ISBN-10: 0792321162
Series: Series Entomologica : Book 1
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 226
Published: 31st January 1993
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 1.42
Weight (kg): 0.51