ENGLISH

Concrete functional calculus

By R. M. Dudley , R. Norvaiša (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2011
ISBN
1441969497, 9781441969491
DOI
10.1007/978-1-4419-6950-7
LCC
QA300 .D83 2011
Open Library ID
OL25033819M
Language
english
Format
PDF
Filesize
5 MB (4781808 bytes)
Series
Springer Monographs in Mathematics
Edition
1
Pages
671\680
Library
Kolxo3
Time added
2011-07-22 07:35:22
Functional Analysis; Integral Equations; Operator

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. 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.

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