About this book
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. For nonlinear integral equations with respect to possibly discontinuous functions having unbounded variation, existence and uniqueness of solutions are proved under suitable assumptions.
Key features and topics:
* Extensive usage of p-variation of functions
* 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.
- DOI https://doi.org/10.1007/978-1-4419-6950-7
- Copyright Information Springer Science+Business Media, LLC 2011
- Publisher Name Springer, New York, NY
- eBook Packages Mathematics and Statistics
- Print ISBN 978-1-4419-6949-1
- Online ISBN 978-1-4419-6950-7
- Series Print ISSN 1439-7382
- Buy this book on publisher's site