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Algebraic Structures and Operator Calculus : Volume I: Representations and Probability Theory - René Schott
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Algebraic Structures and Operator Calculus : Volume I: Representations and Probability Theory - edition reliée, livre de poche

1993, ISBN: 0792321162

[EAN: 9780792321163], Neubuch, [SC: 14.99], [PU: Springer Netherlands], ALGEBRAICSTRUCTURE; BERNOULLIPROCESS; GROUPREPRESENTATION; MATRIX; PROBABILITYTHEORY; REPRESENTATIONTHEORY; ALGEBRA… Plus…

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René Schott:

Algebraic Structures and Operator Calculus : Volume I: Representations and Probability Theory - edition reliée, livre de poche

1993, ISBN: 0792321162

[EAN: 9780792321163], Neubuch, [SC: 0.0], [PU: Springer Netherlands], ALGEBRAICSTRUCTURE; BERNOULLIPROCESS; GROUPREPRESENTATION; MATRIX; PROBABILITYTHEORY; REPRESENTATIONTHEORY; ALGEBRA, … Plus…

NEW BOOK. Frais d'envoiVersandkostenfrei. (EUR 0.00) AHA-BUCH GmbH, Einbeck, Germany [51283250] [Rating: 5 (von 5)]
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Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory P. Feinsilver Author
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ISBN: 9780792321163

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 ex… Plus…

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Algebraic Structures and Operator Calculus
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Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory - edition reliée, livre de poche

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

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.

Informations détaillées sur le livre - Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory P. Feinsilver Author


EAN (ISBN-13): 9780792321163
ISBN (ISBN-10): 0792321162
Version reliée
Date de parution: 1993
Editeur: Springer Netherlands Core >2 >T
244 Pages
Poids: 0,532 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2008-03-05T19:05:19+01:00 (Paris)
Page de détail modifiée en dernier sur 2024-01-11T11:34:34+01:00 (Paris)
ISBN/EAN: 9780792321163

ISBN - Autres types d'écriture:
0-7923-2116-2, 978-0-7923-2116-3
Autres types d'écriture et termes associés:
Auteur du livre: schott, bernoulli
Titre du livre: calculus, applications probability, operator theory, series entomologica, probability course, schott, representation theory, mathematics


Données de l'éditeur

Auteur: P. Feinsilver; René Schott
Titre: Mathematics and Its Applications; Algebraic Structures and Operator Calculus - Volume I: Representations and Probability Theory
Editeur: Springer; Springer Netherland
226 Pages
Date de parution: 1993-01-31
Dordrecht; NL
Langue: Anglais
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
Available
IX, 226 p.

BB; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Algebraic structure; Bernoulli process; Group representation; Matrix; Probability theory; Representation theory; algebra; Non-associative Rings and Algebras; Topological Groups and Lie Groups; Probability Theory; Special Functions; Operator Theory; Gruppen und Gruppentheorie; Wahrscheinlichkeitsrechnung und Statistik; Stochastik; Funktionalanalysis und Abwandlungen; BC

I. General remarks.- II. Some notations.- III. Gamma and beta functions.- IV. Numbering.- V. References.- VI. Polynomials: notations and formulas.- VII. Exercises and examples.- 1 Introductory Noncommutative Algebra.- I. Representations.- II. Heisenberg-Weyl algebra.- III. sl(2) algebra.- IV. Splitting formulas.- V. Exercises and examples.- 2 Hypergeometric functions.- I. Notations.- II. Generating function for 2F1.- III. General formulation of CVPS and transformation formulas.- IV. Formulas related to HW algebra.- V. Formulas related to sl(2) algebra.- VI. Exercises and examples.- 3 Probability and Fock Spaces.- I. Trace functionals: probability and operators.- II. Fock spaces.- III. Tensor products.- IV. Exercises and examples.- 4 Moment Systems.- I. Moment generating functions and convolution.- II. Moment systems.- III. Radial moment systems.- IV. Holomorphic canonical variables.- V. Exercises and examples.- 5 Bernoulli Processes.- I. Bernoulli systems: general structure.- II. Binomial process and Krawtchouk polynomials.- III. Negative binomial process and Meixner polynomials.- IV. Continuous binomial process and Meixner-Pollaczek polynomials.- V. Poisson process and Poisson-Charlier polynomials.- VI. Exponential process and Laguerre polynomials.- VII. Brownian motion and Hermite polynomials.- VIII. Canonical moments.- IX. Exercises and examples.- 6 Bernoulli Systems.- I. Expansions, Rodrigues, and Riccati.- II. w-kernel.- III. X operator.- IV. Generating functions.- V. Riccati equations and Bernoulli systems.- VI. Reproducing kernels.- VII. Exercises.- 7 Matrix Elements.- I. Matrix elements.- II. Addition formulas and Riccati equations.- III. Coherent states and coherent state representations.- IV. Addition formulas for matrix elements of the group.- V. Exercises.-References.

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