TL;DR
This paper introduces an abstract KAM theorem that generalizes the iterative scheme used in perturbation theory, aiming to unify various applications under a common framework.
Contribution
It presents a novel abstract formulation of the KAM theorem, broadening its applicability across different problems in perturbation theory.
Findings
Unified framework for KAM results
Effective in multiple perturbation problems
Potential for broader applications
Abstract
The KAM iterative scheme turns out to be effective in many problems arising in perturbation theory. I propose an abstract version of the KAM theorem to gather these different results.
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