Concrete Functional Calculus 2011 Edition Contributor(s): Dudley, R. M. (Author), Norvaisa, R. (Author) |
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ISBN: 1461427401 ISBN-13: 9781461427407 Publisher: Springer OUR PRICE: $113.99 Product Type: Paperback - Other Formats Published: December 2012 |
Additional Information |
BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Functional Analysis - Mathematics | Calculus |
Dewey: 515 |
Series: Springer Monographs in Mathematics |
Physical Information: 1.37" H x 6.14" W x 9.21" (2.08 lbs) 671 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Concrete Functional Calculus focuses primarily on differentiability of some nonlinear operators on functions or pairs of functions. This includes composition of two functions, and the product integral, taking a matrix- or operator-valued coefficient function into a solution of a system of linear differential equations with the given coefficients. In this book existence and uniqueness of solutions are proved under suitable assumptions for nonlinear integral equations with respect to possibly discontinuous functions having unbounded variation. Key features and topics: Extensive usage of p-variation of functions, and applications to stochastic processes. This work will serve as a thorough reference on its main topics for researchers and graduate students with a background in real analysis and, for Chapter 12, in probability. |