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ISBN: 9780792361336
ID: ca8ec98afc7bd066f2be98a02d495974
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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ISBN: 9780792361336
ID: 237672505
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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2000
ISBN: 9780792361336
ID: 931d3248267f15187ef8b3fd9bc3e663
2000, 292 Seiten, Maße: 15,5 x 23,5 cm, Gebunden, Englisch 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. br/ emAudience:/em 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. Buch / Wissenschaft & Technik / Mathematik, Springer
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2000, ISBN: 9780792361336
ID: 1853091&WAN=10022&WBT=28664&WMID=W000000443
2000. ; GEB ; Uglanov:Integration on Infinite-Dimensi 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 integrati Buch gebund. Buch
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ISBN: 0792361334
ID: 0792361334
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Title: | Integration on Infinite-Dimensional Surfaces and Its Applications |
ISBN: | 0792361334 |
Details of the book - Integration on Infinite-Dimensional Surfaces and Its Applications
EAN (ISBN-13): 9780792361336
ISBN (ISBN-10): 0792361334
Hardcover
Publishing year: 2000
Publisher: Springer-Verlag GmbH
292 Pages
Weight: 0,573 kg
Language: eng/Englisch
Book in our database since 25.10.2007 23:15:10
Book found last time on 20.12.2016 02:31:26
ISBN/EAN: 0792361334
ISBN - alternate spelling:
0-7923-6133-4, 978-0-7923-6133-6
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