Differentiability of Six Operators on Nonsmooth Functions and P-Variation

by R.M. Dudley and R. Norvaisa

Book Overview

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,...

• Format: Paperback
• Language: English
• ISBN: 3540659757
• ISBN13: 9783540659754
• Release Date: June 1999
• Publisher: Springer
• Length: 282 Pages
• Weight: 0.92 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"