1/1
3 files

Automatic Differentiability and Characterization of Cocycles of Holomorphic Flows

journal contribution
posted on 01.01.2005, 00:00 by Farhad Jafari, T. Tonev, E. Toneva
In this paper we prove that cocycles of holomorphic flows on domains in the complex plane are automatically differentiable with respect to the flow parameter, and their derivatives are holomorphic functions. We use this result to show that, on simply connected domains, an additive cocycle is a coboundary if and only if this cocycle vanishes at the fixed point of the flow.

History

ISO

eng

Language

English

Publisher

University of Wyoming. Libraries

Journal title

Proceedings of the American Mathematical Society

Collection

Faculty Publication - Department of Mathmatics & Statistics

Usage metrics

Licence

Exports