2010, ISBN: 9789048153848

[ED: Softcover], [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. 2010. ix, 272 S. IX, 272 p. 235 mm Versandfertig in 6-10 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)

booklooker.de buecher.de GmbH & Co. KG Verzendingskosten:Versandkostenfrei, Versand nach Deutschland. (EUR 0.00) Details... |

ISBN: 9789048153848

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. Trade Books>Trade Paperback>Science>Mathematics>Mathematics, Springer Netherlands Core >1

BarnesandNoble.com new in stock. Verzendingskosten:zzgl. Versandkosten., exclusief verzendingskosten Details... |

ISBN: 9789048153848

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. Books > Mathematics Soft cover, Springer Shop

Springer.com new in stock. Verzendingskosten:zzgl. Versandkosten., exclusief verzendingskosten Details... |

ISBN: 9789048153848

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. Books List_Books

Indigo.ca new in stock. Verzendingskosten:zzgl. Versandkosten., exclusief verzendingskosten Details... |

2010, ISBN: 9789048153848

gebonden uitgave

Erscheinungsdatum: 15.12.2010, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Integration on Infinite-Dimensional Surfaces and Its Applications, Auflage: Softcover reprint of hardcover 1st ed. 2000, Autor: Uglanov, A., Verlag: Springer Netherlands // Springer Netherland, Sprache: Englisch, Schlagworte: Differentialrechnung und // gleichungen // Integralrechnung und // Wahrscheinlichkeitsrechnung und Statistik // Stochastik // Mathematische Physik, Rubrik: Mathematik // Analysis, Seiten: 288, Informationen: Previously published in hardcover, Gewicht: 439 gr, Verkäufer: averdo Belletristik

Averdo.com Nr. Verzendingskosten:, Next Day, DE. (EUR 0.00) Details... |

2010, ISBN: 9789048153848

[ED: Softcover], [PU: Springer Netherlands], It seems hard to believe, but mathematicians were not interested in integration problems on infinite-dimensional nonlinear structures up to 70… Meer...

ISBN: 9789048153848

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 … Meer...

## ISBN: 9789048153848

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 … Meer...

ISBN: 9789048153848

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 … Meer...

2010, ISBN: 9789048153848

gebonden uitgave

Erscheinungsdatum: 15.12.2010, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Integration on Infinite-Dimensional Surfaces and Its Applications, Auflage: Softcover reprint … Meer...

^{1}Aangezien sommige platformen geen verzendingsvoorwaarden meedelen en deze kunnen afhangen van het land van levering, de aankoopprijs, het gewicht en de grootte van het artikel, een eventueel lidmaatschap van het platform, een rechtstreekse levering door het platform of via een derde aanbieder (Marktplaats), enz., is het mogelijk dat de door euro-boek.nl meegedeelde verzendingskosten niet overeenstemmen met deze van het aanbiedende platform.

auteur: | |

Titel: | |

ISBN: |

** 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.### Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:

### Laatste soortgelijke boek:

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

< naar Archief...