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The cohomological equations in nonsmooth categories

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arxiv 1211.0229 v1 pith:GCTTIWAZ submitted 2012-11-01 math.FA math.DS

Yu. I. Lyubich This is my paper · ORCID
classification math.FAmath.DS
keywords categoriesfunctionalvarphianalysiscohomologicalconsidereddynamicalequation
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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.

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  1. New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples

    math.DS 2019-08 conditional novelty 4.0 of 10

    Blid maps, a replacement for smooth bump functions, extend local smooth maps to global maps on spaces like C[0,1] and support a weakened bump-function condition in linearization theorems.

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