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Concrete Functional Calculus
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Concrete Functional Calculus

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ISBN-13:
9781441969491
Einband:
Buch
Erscheinungsdatum:
01.12.2010
Seiten:
671
Autor:
Richard M. Dudley
Gewicht:
1144 g
Format:
245x166x48 mm
Serie:
Schriftenreihe Markt und Marketing Springer Monographs in Mathematics
Sprache:
Englisch
Beschreibung:

99
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 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.-
Concrete Functional Calculus focuses primarily on differentiability of some nonlinear operators on functions or pairs of functions, including 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.
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.