Algebraic Structures and Operator Calculus

Released on by P. Feinsilver
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  • Algebraic Structures and Operator Calculus Book Detail

  • Author : P. Feinsilver
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 232
  • ISBN 13 : 9401116482
  • File Size : 42,42 MB
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Algebraic Structures and Operator Calculus by P. Feinsilver PDF Summary

Book Description: 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.

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Algebraic Structures and Operator Calculus

Algebraic Structures and Operator Calculus

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This series presents some tools of applied mathematics in the areas of proba bility theory, operator calculus, representation theory, and special functions used

Algebraic Structures and Operator Calculus

Algebraic Structures and Operator Calculus

File Size : 11,11 MB
Total View : 1402 Views
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In this volume we will present some applications of special functions in computer science. This largely consists of adaptations of articles that have appeared i

Algebraic Structures and Operator Calculus

Algebraic Structures and Operator Calculus

File Size : 84,84 MB
Total View : 768 Views
DOWNLOAD

In this volume we will present some applications of special functions in computer science. This largely consists of adaptations of articles that have appeared i