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

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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.

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Editorial Reviews

The first of three volumes which present an introduction to Lie algebras and Lie groups, emphasizing the connections with probability theory and representation theory. The chapters discuss noncommutative algebra, hypergeometric functions, probability and Fock spaces, moment systems, Bernoulli processes and systems, and matrix elements. Each chapter includes exercises which range from easy to difficult, and examples. Annotation c. Book News, Inc., Portland, OR (
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Product Details

  • ISBN-13: 9780792321163
  • Publisher: Springer Netherlands
  • Publication date: 1/31/1993
  • Series: Mathematics and Its Applications (closed) Series, #241
  • Edition description: 1993
  • Edition number: 1
  • Pages: 226
  • Product dimensions: 0.56 (w) x 6.14 (h) x 9.21 (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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