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Integration on Infinite-Dimensional Surfaces and Its Applications - pocketboek

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Integration on Infinite-Dimensional Surfaces and Its Applications A. Uglanov Author

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.

Gedetalleerde informatie over het boek. - Integration on Infinite-Dimensional Surfaces and Its Applications A. Uglanov Author


EAN (ISBN-13): 9789048153848
ISBN (ISBN-10): 9048153840
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer Netherlands Core >1
284 Bladzijden
Gewicht: 0,433 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-06-25T17:56:31+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-06-27T21:53:33+02:00 (Amsterdam)
ISBN/EAN: 9789048153848

ISBN - alternatieve schrijfwijzen:
90-481-5384-0, 978-90-481-5384-8


Gegevens van de uitgever

Auteur: A. Uglanov
Titel: Mathematics and Its Applications; Integration on Infinite-Dimensional Surfaces and Its Applications
Uitgeverij: Springer; Springer Netherland
272 Bladzijden
Verschijningsjaar: 2010-12-15
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,454 kg
Taal: Engels
128,39 € (DE)
131,99 € (AT)
141,50 CHF (CH)
POD
IX, 272 p.

BC; Previously published in hardcover; 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; B; Measure and Integration; 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; Mathematics and Statistics; Funktionalanalysis und Abwandlungen; Wahrscheinlichkeitsrechnung und Statistik; Stochastik; Differentialrechnung und -gleichungen; Mathematische Physik; BB

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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