| Vector Integration and Stochastic Integration in Banach Spaces Contributor(s): Dinculeanu, Nicolae (Author) |
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ISBN: 0471377384 ISBN-13: 9780471377382 Publisher: Wiley-Interscience OUR PRICE: $232.70 Product Type: Hardcover - Other Formats Published: February 2000 Annotation: A breakthrough approach to the theory and applications of stochastic integration The theory of stochastic integration has become an intensely studied topic in recent years, owing to its extraordinarily successful application to financial mathematics, stochastic differential equations, and more. This book features a new measure theoretic approach to stochastic integration, opening up the field for researchers in measure and integration theory, functional analysis, probability theory, and stochastic processes. World-famous expert on vector and stochastic integration in Banach spaces Nicolae Dinculeanu compiles and consolidates information from disparate journal articles--including his own results--presenting a comprehensive, up-to-date treatment of the theory in two major parts. He first develops a general integration theory, discussing vector integration with respect to measures with finite semivariation, then applies the theory to stochastic integration in Banach spaces. Vector Integration and Stochastic Integration in Banach Spaces goes far beyond the typical treatment of the scalar case given in other books on the subject. Along with such applications of the vector integration as the Reisz representation theorem and the Stieltjes integral for functions of one or two variables with finite semivariation, it explores the emergence of new classes of summable processes that make applications possible, including square integrable martingales in Hilbert spaces and processes with integrable variation or integrable semivariation in Banach spaces. Numerous references to existing results supplement this exciting, breakthrough work. |
| Additional Information |
| BISAC Categories: - Medical - Mathematics | Probability & Statistics - General |
| Dewey: 519.2 |
| LCCN: 99054734 |
| Series: Pure and Applied Mathematics: A Wiley Texts, Monographs and Tracts |
| Physical Information: 1.02" H x 6.43" W x 9.57" (1.63 lbs) 448 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Dieser Band erl utert die Theorie der stochastischen Integration erstmals auf einer hohen Ebene der Allgemeinheit, n mlich bezogen auf einen Proze mit finiter Semivariation und Werten in einem Banach-Raum. (Solche Themen wurden bisher nur in Fachzeitschriften abgehandelt; die existierenden B cher beschr nken sich ausnahmslos auf einfachste, durch starke Einschr nkungen praxisuntaugliche F lle.) Geschrieben von einem weltbekannten Experten der stochastischen Integration. (05/00) |