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BL
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| Record Number
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982244
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| Doc. No
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b736614
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| Main Entry
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Dudley, R. M., (Richard M.)
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| Title & Author
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Concrete functional calculus /\ R.M. Dudley, R. Norvaiša.
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| Publication Statement
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New York :: Springer,, ©2011.
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| Series Statement
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Springer monographs in mathematics
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| Page. NO
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1 online resource (xii, 667 pages)
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| ISBN
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1441969500
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: 9781441969507
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1441969497
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9781441969491
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| Bibliographies/Indexes
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Includes bibliographical references and indexes.
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| Contents
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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.
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| Abstract
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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-variat.
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| Subject
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Nonlinear functional analysis.
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| Subject
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MATHEMATICS-- Calculus.
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| Subject
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MATHEMATICS-- Mathematical Analysis.
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| Subject
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Nonlinear functional analysis.
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| Dewey Classification
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515/.7
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| LC Classification
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QA321.5.D83 2011
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| Added Entry
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Norvaiša, Rimas,1956-
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