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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.
"synopsis" may belong to another edition of this title.
About the Author
Richard M. Dudley is a professor of mathematics at MIT. He has published over a hundred papers in peer-reviewed journals and two books. He was one of three lecturers in the 1982 St.-Flour Summer School in Probability, published in Springer's Lecture Notes in Mathematics series in 1984. Rimas Norvai?a is a principal researcher at the Institute of Mathematics and Informatics in Lithuania. Dudley and Norvai?a have written one previous book together in 1999 for Springer's Lecture Notes in Mathematics series, entitled "Differentiability of Six Operators on Nonsmooth Functions and P-Variation".
From the Back Cover
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.
"About this title" may belong to another edition of this title.
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Differentiability of Six Operators on Nonsmooth Functions and P-Variation (1999)
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Springer June 1999, 1999
ISBN 10: 3540659757
ISBN 13: 9783540659754
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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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Differentiability of Six Operators on Nonsmooth Functions and p-Variation
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Differentiability of six operators on nonsmooth functions and p-variation. Lecture Notes in Mathematics; vol. 1703.
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Softcover. Condition: Gut. VIII, 277 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04974 9783540659754 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2491217
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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
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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 kartoniert. Condition: Sehr gut. 277 Seiten, Lecture Notes in Mathematics, Band 1703. Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 428. Seller Inventory # 493497
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Differentiability of Six Operators on Nonsmooth Functions and p-Variation
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783540659754
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Differentiability of Six Operators on Nonsmooth Functions and p-Variation
Published by
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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