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Integration on Infinite-dimensional Surfaces and Its Applications
A.V. Uglanov
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Description for Integration on Infinite-dimensional Surfaces and Its Applications
Hardback. This text 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 are treated in detail. Series: Mathematics and its Applications. Num Pages: 272 pages, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 17. Weight in Grams: 586.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2000
Publisher
Kluwer Academic Publishers United States
Number of pages
272
Condition
New
Series
Mathematics and its Applications
Number of Pages
272
Place of Publication
Dordrecht, Netherlands
ISBN
9780792361336
SKU
V9780792361336
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Integration on Infinite-dimensional Surfaces and Its Applications
`This book is highly recommended for every mathematician with an interest in recent developments in functional analysis, measure and integration, differential equations, approximations, calculus of variations and stochastic processes.' Mathematical Reviews, 2001c