Differentiability of Six Operators on Nonsmooth Functions and p-Variation

• Main Authors: Dudley, R. M. (Author, http://id.loc.gov/vocabulary/relators/aut), Norvaiša, R. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
• Edition: 1st ed. 1999.
• Series: Lecture Notes in Mathematics, 1703
• Subjects: Operator theory.; Global analysis (Mathematics).; Manifolds (Mathematics).; Functions of real variables.; Operator Theory.; Global Analysis and Analysis on Manifolds.; Real Functions.

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...

Table of Contents:

• A survey on differentiability of six operators in relation to probability and statistics
• Product integrals, young integrals and p-variation
• Differentiability of the composition and quantile operators for regulated and A. E. continuous functions
• Bibliographies on p-variation and ?-variation.