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arxiv: 0911.4341 · v1 · submitted 2009-11-23 · 🧮 math.DS · math.CV

Brjuno conditions for linearization in presence of resonances

classification 🧮 math.DS math.CV
keywords linearizationpresenceresonancesarithmeticbrjunocomputationsconditionsdifferent
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We present a new proof, under a slightly different (and more natural) arithmetic hypothesis, and using direct computations via power series expansions, of a holomorphic linearization result in presence of resonances originally proved by R\"ussmann.

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