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Integration On Infinite-dimensional Surfaces And Its Applications by A. Uglanov Hardcover | Indigo Chapters
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It seems hard to believe, but mathematicians were not interested in integration problems on infinite-dimensional nonlinear structures up to 70s of our century. At least the author is not … More...

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Integration on Infinite-Dimensional Surfaces and Its Applications
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It seems hard to believe, but mathematicians were not interested in integration problems on infinite-dimensional nonlinear structures up to 70s of our century. At least the author is not … More...

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Integration on Infinite-Dimensional Surfaces and Its (MATHEMATICS AND ITS APPLICATIONS Volume 496) (Mathematics and Its Applications, 496) - Uglanov, A.
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Uglanov, A.:
Integration on Infinite-Dimensional Surfaces and Its (MATHEMATICS AND ITS APPLICATIONS Volume 496) (Mathematics and Its Applications, 496) - hardcover

2000

ISBN: 9780792361336

Springer, Hardcover, Auflage: 2000, 272 Seiten, Publiziert: 2000-01-31T00:00:01Z, Produktgruppe: Book, 1.3 kg, Experiments, Instruments & Measurement, Science & Math, Subjects, Books, Dif… More...

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Integration on Infinite-Dimensional Surfaces and Its (MATHEMATICS AND ITS APPLICATIONS Volume 496) (Mathematics and Its Applications, 496) - Uglanov, A.
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Integration on Infinite-Dimensional Surfaces and Its (MATHEMATICS AND ITS APPLICATIONS Volume 496) (Mathematics and Its Applications, 496) - hardcover

2000, ISBN: 0792361334

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Details of the book
Integration on Infinite-Dimensional Surfaces and Its (MATHEMATICS AND ITS APPLICATIONS Volume 496) (Mathematics and Its Applications, 496)

This book presents the theory of integration over surfaces in abstract topological vector space. Applications of the theory in different fields, such as infinite dimensional distributions and differential equations (including boundary value problems), stochastic processes, approximation of functions, and calculus of variation on a Banach space, are treated in detail. Audience: This book will be of interest to specialists in functional analysis, and those whose work involves measure and integration, probability theory and stochastic processes, partial differential equations and mathematical physics.

Details of the book - Integration on Infinite-Dimensional Surfaces and Its (MATHEMATICS AND ITS APPLICATIONS Volume 496) (Mathematics and Its Applications, 496)


EAN (ISBN-13): 9780792361336
ISBN (ISBN-10): 0792361334
Hardcover
Publishing year: 2000
Publisher: Springer
292 Pages
Weight: 0,573 kg
Language: eng/Englisch

Book in our database since 2007-10-25T17:15:10-04:00 (New York)
Detail page last modified on 2023-11-27T07:26:30-05:00 (New York)
ISBN/EAN: 0792361334

ISBN - alternate spelling:
0-7923-6133-4, 978-0-7923-6133-6
Alternate spelling and related search-keywords:
Book author: feynman, skorokhod
Book title: integration infinite dimensional surfaces its applications


Information from Publisher

Author: A. Uglanov
Title: Mathematics and Its Applications; Integration on Infinite-Dimensional Surfaces and Its Applications
Publisher: Springer; Springer Netherland
272 Pages
Publishing year: 2000-01-31
Dordrecht; NL
Weight: 1,300 kg
Language: English
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
IX, 272 p.

BB; Measure and Integration; Hardcover, Softcover / Mathematik/Analysis; Integralrechnung und -gleichungen; Verstehen; Boundary value problem; Hilbert space; Probability theory; Stochastic processes; Variance; distribution; functional analysis; mathematical physics; partial differential equation; stochastic process; partial differential equations; Functional Analysis; Probability Theory and Stochastic Processes; Partial Differential Equations; Theoretical, Mathematical and Computational Physics; Measure and Integration; Functional Analysis; Probability Theory; Differential Equations; Theoretical, Mathematical and Computational Physics; Funktionalanalysis und Abwandlungen; Wahrscheinlichkeitsrechnung und Statistik; Stochastik; Differentialrechnung und -gleichungen; Mathematische Physik; BC; EA

Preface. Introduction. Basic Notations. 1. Vector Measures and Integrals. 1.1. Definitions and Elementary Properties. 1.2. Principle of Boundedness. 1.3. Passage to the Limit Under Integral Sign. 1.4. Fubini's Theorem. 1.5. Reduction of a Vector Integral to a Scalar Integral. 2. Surface Integrals. 2.1. Smooth measures. 2.2. Definition of Surface Measures. The Invariance Theorem. 2.3. Elementary Properties of Surface Measures and Integrals. 2.4. Iterated Integration Formula. 2.5. Integration by Parts Formula. 2.6. Gauss-Ostrogradskii and Green's Formulas. 2.7. Vector Surface Measures. 2.8. A Case of the Banach Surfaces. 2.9. Some Special Surface Integrals. 3. Applications. 3.1. Distributions on a Hilbert Space. 3.2. Infinite-Dimensional Differential Equations. 3.3. Integral Representation of Functions on a Banach Space. Green's Measure. 3.4. On Parabolic and Elliptic Equations in a Space of Measures. 3.5. About the Amoothness of Distributions of Stochastic Functionals. 3.6. Approximation of Functions of an Infinite-Dimensional Argument. 3.7. On a Differentiable Urysohn Function. 3.8. Calculus of Variations on a Banach Space. Comments. References. Index.

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9789401596220 Integration on Infinite-Dimensional Surfaces and Its Applications (A. Uglanov)


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