Automatic Differentiability and Characterization of Cocycles of Holomorphic Flows
journal contributionposted on 2021-11-15, 21:40 authored 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.
PublisherUniversity of Wyoming. Libraries
Journal titleProceedings of the American Mathematical Society
CollectionFaculty Publication - Department of Mathmatics & Statistics
- Library Sciences - LIBS