Decomposition theorems for groups of diffeomorphisms in the sphere

DOI10.1090/S0002-9947-99-02320-XzbMath0937.58011MaRDI QIDQ4699624

Rafael Obaya, Rafael de la Llave

Publication date: 17 November 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

diffeomorphism groupscomposition of diffeomorphisms

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items (4)

Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems ⋮ A KAM theory for conformally symplectic systems: efficient algorithms and their validation ⋮ Generalized Whitney topologies are Baire ⋮ Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions

Cites Work

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• Lipschitz spaces, smoothness of functions, and approximation theory
• Remarks on J. Langer and D. A. Singer decomposition theorem for diffeomorphisms of the circle
• Regularity of the composition operator in spaces of Hölder functions
• Diffeomorphisms of the circle and geodesic fields on Riemann surfaces of genus one
• The inverse function theorem of Nash and Moser
• Generalized implicit function theorems with applications to some small divisor problems, I
• Generalized implicit function theorems with applications to some small divisor problems, II
• On optimal estimates for the solutions of linear difference equations on the circle
• Differential Topology

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