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Integration on Infinite-Dimensional Surfaces and Its Applications - Uglanov, A.
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Uglanov, A.:
Integration on Infinite-Dimensional Surfaces and Its Applications - edition reliée, livre de poche

ISBN: 9780792361336

[ED: Hardcover], [PU: Springer Netherlands], 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 aware of any publication concerning this theme, although as early as 1967 L. Gross mentioned that the analysis on infinite dimensional manifolds is a field of research with rather rich opportunities in his classical work [2. This prediction was brilliantly confirmed afterwards, but we shall return to this later on. In those days the integration theory in infinite dimensional linear spaces was essentially developed in the heuristic works of RP. Feynman [1], I. M. Gelfand, A. M. Yaglom [1]). The articles of J. Eells [1], J. Eells and K. D. Elworthy [1], H. -H. Kuo [1], V. Goodman [1], where the contraction of a Gaussian measure on a hypersurface, in particular, was built and the divergence theorem (the Gauss-Ostrogradskii formula) was proved, appeared only in the beginning of the 70s. In this case a Gaussian specificity was essential and it was even pointed out in a later monograph of H. -H. Kuo [3] that the surface measure for the non-Gaussian case construction problem is not simple and has not yet been solved. A. V. Skorokhod [1] and the author [6,10] offered different approaches to such a construction. Some other approaches were offered later by Yu. L. Daletskii and B. D. Maryanin [1], O. G. Smolyanov [6], N. V. ix, 272 S. IX, 272 p. 234 mm Versandfertig in 3-5 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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Integration on Infinite-Dimensional Surfaces and Its Applications - A. Uglanov
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A. Uglanov:
Integration on Infinite-Dimensional Surfaces and Its Applications - nouveau livre

ISBN: 9780792361336

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Integration on Infinite-Dimensional Surfaces and Its Applications 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 aware of any publication concerning this theme, although as early as 1967 L. Gross mentioned that the analysis on infinite­ dimensional manifolds is a field of research with rather rich opportunities in his classical work [2. This prediction was brilliantly confirmed afterwards, but we shall return to this later on. In those days the integration theory in infinite­ dimensional linear spaces was essentially developed in the heuristic works of RP. Feynman [1], I. M. Gelfand, A. M. Yaglom [1]). The articles of J. Eells [1], J. Eells and K. D. Elworthy [1], H. -H. Kuo [1], V. Goodman [1], where the contraction of a Gaussian measure on a hypersurface, in particular, was built and the divergence theorem (the Gauss-Ostrogradskii formula) was proved, appeared only in the beginning of the 70s. In this case a Gaussian specificity was essential and it was even pointed out in a later monograph of H. -H. Kuo [3] that the surface measure for the non-Gaussian case construction problem is not simple and has not yet been solved. A. V. Skorokhod [1] and the author [6,10] offered different approaches to such a construction. Some other approaches were offered later by Yu. L. Daletskii and B. D. Maryanin [1], O. G. Smolyanov [6], N. V. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-7923-6133-6, Springer

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Integration on Infinite-Dimensional Surfaces and Its Applications - A. Uglanov
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A. Uglanov:
Integration on Infinite-Dimensional Surfaces and Its Applications - nouveau livre

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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 aware of any publication concerning this theme, although as early as 1967 L. Gross mentioned that the analysis on infinite­ dimensional manifolds is a field of research with rather rich opportunities in his classical work [2. This prediction was brilliantly confirmed afterwards, but we shall return to this later on. In those days the integration theory in infinite­ dimensional linear spaces was essentially developed in the heuristic works of RP. Feynman [1], I. M. Gelfand, A. M. Yaglom [1]). The articles of J. Eells [1], J. Eells and K. D. Elworthy [1], H. -H. Kuo [1], V. Goodman [1], where the contraction of a Gaussian measure on a hypersurface, in particular, was built and the divergence theorem (the Gauss-Ostrogradskii formula) was proved, appeared only in the beginning of the 70s. In this case a Gaussian specificity was essential and it was even pointed out in a later monograph of H. -H. Kuo [3] that the surface measure for the non-Gaussian case construction problem is not simple and has not yet been solved. A. V. Skorokhod [1] and the author [6,10] offered different approaches to such a construction. Some other approaches were offered later by Yu. L. Daletskii and B. D. Maryanin [1], O. G. Smolyanov [6], N. V. Integration on Infinite-Dimensional Surfaces and Its Applications Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Integration On Infinite-dimensional Surfaces And Its Applications - A. Uglanov
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A. Uglanov:
Integration On Infinite-dimensional Surfaces And Its Applications - nouveau livre

ISBN: 9780792361336

ID: 978079236133

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. A. Uglanov, Books, Science and Nature, Integration On Infinite-dimensional Surfaces And Its Applications Books>Science and Nature, Springer Netherlands

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Uglanov, A.: Integration on Infinite-Dimensional Surfaces and Its Applications
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Uglanov, A.: Integration on Infinite-Dimensional Surfaces and Its Applications - nouveau livre

2000, ISBN: 9780792361336

ID: 708290952

Mathematics and Its Applications. 2000. Auflage Mathematics and Its Applications. 2000. Auflage Bücher > Wissenschaft > Mathematik, [PU: Kluwer Academic Publishers]

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Détails sur le livre
Integration on Infinite-Dimensional Surfaces and Its Applications

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.

Informations détaillées sur le livre - Integration on Infinite-Dimensional Surfaces and Its Applications


EAN (ISBN-13): 9780792361336
ISBN (ISBN-10): 0792361334
Version reliée
Date de parution: 2000
Editeur: Springer-Verlag GmbH
292 Pages
Poids: 0,573 kg
Langue: eng/Englisch

Livre dans la base de données depuis 25.10.2007 23:15:10
Livre trouvé récemment le 11.10.2017 14:32:01
ISBN/EAN: 9780792361336

ISBN - Autres types d'écriture:
0-7923-6133-4, 978-0-7923-6133-6


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