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Algebraic Structures and Operator Calculus : Volume I: Representations and Probability Theory - René Schott
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René Schott:

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

1993, ISBN: 0792321162

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

NEW BOOK. Shipping costs: EUR 14.99 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 - René Schott
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René Schott:

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

1993, ISBN: 0792321162

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

NEW BOOK. Shipping costs:Versandkostenfrei. (EUR 0.00) AHA-BUCH GmbH, Einbeck, Germany [51283250] [Rating: 5 (von 5)]
3
Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory P. Feinsilver Author
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Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory P. Feinsilver Author - new book

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… More...

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Algebraic Structures and Operator Calculus
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Algebraic Structures and Operator Calculus - new book

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 expect … More...

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Philip J. Feinsilver:
Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory - hardcover

ISBN: 9780792321163

Hardback. New. This series presents some tools of applied mathematics in the areas of proba bility theory, operator calculus, representation theory, and special functions used currently… More...

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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.

Details of the book - Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory P. Feinsilver Author


EAN (ISBN-13): 9780792321163
ISBN (ISBN-10): 0792321162
Hardcover
Publishing year: 1993
Publisher: Springer Netherlands Core >2 >T
244 Pages
Weight: 0,532 kg
Language: eng/Englisch

Book in our database since 2008-03-05T13:05:19-05:00 (New York)
Detail page last modified on 2024-01-11T05:34:34-05:00 (New York)
ISBN/EAN: 0792321162

ISBN - alternate spelling:
0-7923-2116-2, 978-0-7923-2116-3
Alternate spelling and related search-keywords:
Book author: schott, bernoulli
Book title: calculus, applications probability, operator theory, series entomologica, probability course, schott, representation theory, mathematics


Information from Publisher

Author: P. Feinsilver; René Schott
Title: Mathematics and Its Applications; Algebraic Structures and Operator Calculus - Volume I: Representations and Probability Theory
Publisher: Springer; Springer Netherland
226 Pages
Publishing year: 1993-01-31
Dordrecht; NL
Language: English
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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