The cohomological equations in nonsmooth categories
Yu. I. Lyubich
TL;DR
This paper surveys the theory of cohomological equations in various nonsmooth categories, exploring their solutions within topological, measurable, and related frameworks from a functional analysis and dynamical systems perspective.
Contribution
It provides a comprehensive, self-contained overview of cohomological equations across different nonsmooth categories, integrating functional analysis and dynamical systems insights.
Findings
Unified treatment of cohomological equations in multiple categories
Connections between solutions and dynamical system properties
Clarification of functional analytic approaches in nonsmooth contexts
Abstract
The functional equation 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.
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