On the cohomological equation of a linear contraction

DOI10.22199/ISSN.0717-6279-4559zbMath1496.37003OpenAlexW4296581849WikidataQ114043764 ScholiaQ114043764MaRDI QIDQ5039446

R. Leclercq, Abdellatif Zeggar

Publication date: 12 October 2022

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-4559

zbMATH Keywords

Fréchet spacecohomological equation

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Ordinary differential equations and systems on manifolds (34C40) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

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• Cohomological equations and invariant distributions for minimal circle diffeomorphisms
• The \({\overline{\partial}}\) operator along the leaves and Guichard's theorem for a complex simple foliation
• Cohomological equations of Riemannian flows and the Anosov diffeomorphism
• ON AN ADDITIVE FUNCTIONAL HOMOLOGY EQUATION CONNECTED WITH AN ERGODIC ROTATION OF THE CIRCLE
• The cohomological equation for Roth-type interval exchange maps

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