Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory by P. FeinsilverAlgebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory by P. Feinsilver

Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory

byP. Feinsilver, Ren Schott

Paperback | September 21, 2012

Pricing and Purchase Info

$144.32 online 
$150.50 list price
Earn 722 plum® points

Prices and offers may vary in store

Quantity:

In stock online

Ships free on orders over $25

Not available in stores

about

This series presents some tools of applied mathematics in the areas of proba­ bility theory, operator calculus, representation theory, and special functions used currently, and we expect more and more in the future, for solving problems in math­ ematics, physics, and, now, computer science. Much of the material is scattered throughout available literature, however, we have nowhere found in accessible form all of this material collected. The presentation of the material is original with the authors. The presentation of probability theory in connection with group represen­ tations is new, this appears in Volume I. Then the applications to computer science in Volume II are original as well. The approach found in Volume III, which deals in large part with infinite-dimensional representations of Lie algebras/Lie groups, is new as well, being inspired by the desire to find a recursive method for calcu­ lating group representations. One idea behind this is the possibility of symbolic computation of the matrix elements. In this volume, Representations and Probability Theory, we present an intro­ duction to Lie algebras and Lie groups emphasizing the connections with operator calculus, which we interpret through representations, principally, the action of the Lie algebras on spaces of polynomials. The main features are the connection with probability theory via moment systems and the connection with the classical ele­ mentary distributions via representation theory. The various systems of polynomi­ als that arise are one of the most interesting aspects of this study.
Title:Algebraic Structures and Operator Calculus: Volume I: Representations and Probability TheoryFormat:PaperbackDimensions:226 pages, 24 × 16 × 0.01 inPublished:September 21, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401047200

ISBN - 13:9789401047203

Reviews

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.