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Concrete Functional Calculus
Hardcover
Series: Springer Monographs in Mathematics
ISBN13: 9781441969491
Publisher: Springer
Published: Nov 10 2010
Pages: 671
Weight: 2.48
Height: 1.44 Width: 6.14 Depth: 9.21
Language: English
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
* 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.
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