Concrete Functional Calculus (Springer Monographs in Mathematics)
Language: English
Published by Springer, 2010
- Hardcover
- Used

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- Title
- Concrete Functional Calculus (Springer Monographs in Mathematics)
- Author
- Dudley, R. M., Norvaia, R.
- Publisher
- Springer
- Publication year
- 2010
- Condition
- Like New
- Book Type
- book
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 1441969497
- ISBN 13
- 9781441969491
- Series
- Book 75 of 187: Springer Monographs in Mathematics
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.
"Synopsis" may belong to another edition of this title.
About the Author
Richard M. Dudley is a professor of mathematics at MIT. He has published over a hundred papers in peer-reviewed journals and two books. He was one of three lecturers in the 1982 St.-Flour Summer School in Probability, published in Springer's Lecture Notes in Mathematics series in 1984.
Rimas Norvaiša is a principal researcher at the Institute of Mathematics and Informatics in Lithuania. Dudley and Norvaiša have written one previous book together in 1999 for Springer's Lecture Notes in Mathematics series, entitled "Differentiability of Six Operators on Nonsmooth Functions and P-Variation".
"About the title" may belong to another edition of this title.
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