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

R. M. Dudley, R. Norvaiša




[PDF.yg93] Differentiability of Six Operators on Nonsmooth Functions and p-Variation (Lecture Notes in Mathematics)

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 | #6102710 in Books |  Springer |  2008-06-13 | Original language:English | PDF # 1 |  9.25 x.66 x6.10l,.92 | File type: PDF | 282 pages

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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 oper...

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