The cohomological equations in nonsmooth categories
Volume 112 / 2017
Banach Center Publications 112 (2017), 221-272
MSC: 39B52, 37A30, 40G05.
DOI: 10.4064/bc112-0-13
Abstract
The functional equation $\varphi(Fx) - \varphi(x) = \gamma(x)$ is considered in topological, measurable and related categories from the point of view of functional analysis and general theory of dynamical systems. The material is presented in the form of a self-contained survey.