Differentiability of Six Operators on Nonsmooth Functions and p-Variation: 1703 (Lecture Notes in Mathematics, 1703) - Softcover
Synopsis
The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some p-variation norms. The reader will need to know basic real analysis, including Riemann and Lebesgue integration. The book is intended for analysts, statisticians and probabilists. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results.
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Differentiability of six operators on nonsmooth functions and p-variation. Lecture Notes in Mathematics; vol. 1703.
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Differentiability of Six Operators on Nonsmooth Functions and p-Variation.
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Berlin, Heidelberg: Springer-Verlag, 1999
ISBN 10: 3540659757
ISBN 13: 9783540659754
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kartoniert. Condition: Sehr gut. Lecture Notes in Mathematics, Band 1703. Zust: Gutes Exemplar. 277 Seiten, Englisch 428g. Seller Inventory # 493497
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Differentiability of Six Operators on Nonsmooth Functions and p-Variation
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Springer Berlin Heidelberg Jun 1999, 1999
ISBN 10: 3540659757
ISBN 13: 9783540659754
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some p-variation norms. The reader will need to know basic real analysis, including Riemann and Lebesgue integration. The book is intended for analysts, statisticians and probabilists. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results. 292 pp. Englisch. Seller Inventory # 9783540659754
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DIFFERENTIABILITY OF SIX OPERATORS ON NONSMOOTH FUNCTIONS AND P VARIATION (PB 1999)
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Differentiability of Six Operators on Nonsmooth Functions and p-Variation
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Springer Berlin Heidelberg, 1999
ISBN 10: 3540659757
ISBN 13: 9783540659754
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes supplementary material: sn.pub/extrasThe book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and. Seller Inventory # 4897454
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Differentiability of Six Operators on Nonsmooth Functions and p-Variation
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ISBN 10: 3540659757
ISBN 13: 9783540659754
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some p-variation norms. The reader will need to know basic real analysis, including Riemann and Lebesgue integration. The book is intended for analysts, statisticians and probabilists. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 292 pp. Englisch. Seller Inventory # 9783540659754