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Concrete functional calculus

Author: R M Dudley; Rimas Norvaiša
Publisher: New York : Springer, ©2011.
Series: Springer monographs in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Dudley, R.M. (Richard M.).
Concrete functional calculus.
New York, N.Y. : Springer, 2011
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: R M Dudley; Rimas Norvaiša
ISBN: 9781441969507 1441969500
OCLC Number: 695389112
Description: 1 online resource (xii, 667 pages).
Contents: Preface --
1 Introduction and Overview --
2 Definitions and Basic Properties of Extended Riemann-Stieltjes Integrals --
3 Phi-variation and p-variation; Inequalities for Integrals --
4 Banach Algebras --
5 Derivatives and Analyticity in Normed Spaces --
6 Nemytskii Operators on Some Function Spaces --
7 Nemytskii Oerators on Lp Spaces --
8 Two-Function Composition --
9 Product Integration --
10 Nonlinear Differential and Integral Equations --
11 Fourier Series --
12 Stochastic Processes and Phi-Variation --
Appendix Nonatomic Measure Spaces --
References --
Subject Index --
Author Index --
Index of Notation.
Series Title: Springer monographs in mathematics.
Responsibility: R.M. Dudley, R. Norvaiša.

Abstract:

Focuses primarily on differentiability of some nonlinear operators on functions or pairs of functions. This title includes topics such as: Extensive usage of p-variation of functions, and  Read more...

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From the reviews:"This monograph is a thorough and masterful work on non-linear analysis designed to be read and studied by graduate students and professional mathematical researchers. The overall Read more...

 
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