Jasmin Raissy
Published 2009-11-23Version 1
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.
Comments: 14 pages, no figures
Lacunary series, resonances, and automorphisms of $\mathbb{C}^2$ with a round Siegel domain
On resonances and the formation of gaps in the spectrum of quasi-periodic Schroedinger equations
Averaging and passage through resonances in two-frequency systems near separatrices
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