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Differentiability of Six Operators on Nonsmooth Functions and p-Variation (Lecture Notes in Mathematics)
R. M. Dudley
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Description for Differentiability of Six Operators on Nonsmooth Functions and p-Variation (Lecture Notes in Mathematics)
Paperback. Concerns the differentiability of six operators on functions or pairs of functions, composition (f of g), integration (of f dg), multiplication and convolution of two functions, and the product integral and inverse operators for one function. Knowledge of basic real analysis is essential. Series: Lecture Notes in Mathematics. Num Pages: 292 pages, biography. BIC Classification: PBKB; PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 15. Weight in Grams: 920.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer
Format
Paperback
Publication date
1999
Series
Lecture Notes in Mathematics
Condition
New
Number of Pages
282
Place of Publication
Berlin, Germany
ISBN
9783540659754
SKU
V9783540659754
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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