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Download Differentiability of Six Operators on Nonsmooth Functions and p-Variation (Lecture Notes in Mathematics) epub

by R. Norvaiša,J. Qian,R. M. Dudley




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.
Download Differentiability of Six Operators on Nonsmooth Functions and p-Variation (Lecture Notes in Mathematics) epub
ISBN: 3540659757
ISBN13: 978-3540659754
Category: Science
Subcategory: Mathematics
Author: R. Norvaiša,J. Qian,R. M. Dudley
Language: English
Publisher: Springer; 1999 edition (July 30, 1999)
Pages: 282 pages
ePUB size: 1687 kb
FB2 size: 1413 kb
Rating: 4.7
Votes: 827
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