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Infinite-dimensional analog of Siegel's theorem

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Publication:793968
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DOI10.1007/BF01081634zbMath0539.47048MaRDI QIDQ793968

L. V. Novikova

Publication date: 1982

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

Siegel's theoremFréchet-analytic diffeomorphismFréchet-analytic nonlinearityKolmogorov-Arnold-Moser method of rapid convergenceSobolev space of \(2\pi\)-periodic complex-valued functions


Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fixed-point theorems on manifolds (58C30)





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