Differentiability of Six Operators on Nonsmooth Functions and p-Variation
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…
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Produktdetails
Weitere Autoren: NorvaiSa, R.
- ISBN: 978-3-540-65975-4
- EAN: 9783540659754
- Produktnummer: 3055943
- Verlag: Springer Berlin Heidelberg
- Sprache: Englisch
- Erscheinungsjahr: 1999
- Seitenangabe: 292 S.
- Masse: H23.3 cm x B15.5 cm x D1.5 cm 443 g
- Auflage: 1999
- Abbildungen: Paperback
- Gewicht: 443
17 weitere Werke von R. M. Dudley:
Differentiability of Six Operators on Nonsmooth Functions and p-Variation
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