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Algebraic Structures and Operator Calculus: Representations and Probability Theory (001) - Couverture rigide
Synopsis
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: Volume I: Representations and Probability Theory (Mathematics and Its Applications, 241)
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Algebraic Structures and Operator Calculus (Hardcover)
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Kluwer Academic Publishers, Dordrecht, 1993
ISBN 10 : 0792321162
ISBN 13 : 9780792321163
Neuf
Couverture rigide
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Hardcover. Etat : new. Hardcover. 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 1 deals with probability theory in connection with group representation. Volume 2 will consider applications to computer science, and Volume 3 will deal largely with infinite-dimensional representations of Lie algebras and groups. This first volume - "Representations and Probability Theory" - 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780792321163
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Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory (Mathematics and Its Applications, 241)
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Algebraic Structures and Operator Calculus
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Algebraic Structures and Operator Calculus
impression à la demandeVendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. Print on Demand pp. 240 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam. N° de réf. du vendeur 8388533
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Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory (Hardback or Cased Book)
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Springer 1/31/1993, 1993
ISBN 10 : 0792321162
ISBN 13 : 9780792321163
Neuf
Couverture rigide
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Hardback or Cased Book. Etat : New. Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory. Book. N° de réf. du vendeur BBS-9780792321163
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Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory
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Hardback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 544. N° de réf. du vendeur C9780792321163
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Algebraic Structures and Operator Calculus
impression à la demandeVendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Algebraic Structures and Operator Calculus
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Springer Netherlands, 1993
ISBN 10 : 0792321162
ISBN 13 : 9780792321163
Neuf
Couverture rigide
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Algebraic Structures and Operator Calculus
Edité par
Springer Netherlands, Springer Netherlands Jan 1993, 1993
ISBN 10 : 0792321162
ISBN 13 : 9780792321163
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 244 pp. Englisch. N° de réf. du vendeur 9780792321163
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