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Titlebook: Differentiability of Six Operators on Nonsmooth Functions and p-Variation; Richard M. Dudley,Rimas Norvai?a Book 1999 Springer-Verlag Berl

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書(shū)目名稱(chēng)Differentiability of Six Operators on Nonsmooth Functions and p-Variation
編輯Richard M. Dudley,Rimas Norvai?a
視頻videohttp://file.papertrans.cn/279/278627/278627.mp4
概述Includes supplementary material:
叢書(shū)名稱(chēng)Lecture Notes in Mathematics
圖書(shū)封面Titlebook: Differentiability of Six Operators on Nonsmooth Functions and p-Variation; Richard M. Dudley,Rimas Norvai?a Book 1999 Springer-Verlag Berl
描述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.
出版日期Book 1999
關(guān)鍵詞Composition; Hadamard differentiability; Riemann-Stieltjes integrals; convolution; product-integral; quan
版次1
doihttps://doi.org/10.1007/BFb0100744
isbn_softcover978-3-540-65975-4
isbn_ebook978-3-540-48814-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1999
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Richard M. Dudley,Rimas Norvai?aIncludes supplementary material:
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978-3-540-65975-4Springer-Verlag Berlin Heidelberg 1999
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