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- Douady–Earle_extension abstract "In mathematics, the Douady–Earle extension, named after Adrien Douady and Clifford Earle, is a way of extending homeomorphisms of the unit circle in the complex plane to homeomorphisms of the closed unit disk, such that the extension is a diffeomorphism of the open disk. The extension is analytic on the open disk. The extension has an important equivariance property: if the homeomorphism is composed on either side with a Möbius transformation preserving the unit circle the extension is also obtained by composition with the same Möbius transformation. If the homeomorphism is quasisymmetric, the diffeomorphism is quasiconformal. An extension for quasisymmetric homeomorphisms had previously been given by Ahlfors and Arne Beurling; a different equivariant construction had been given in 1985 by Pekka Tukia. Equivariant extensions have important applications in Teichmüller theory, for example they lead to a quick proof of the contractibility of the Teichmüller space of a Fuchsian group.".
- Douady–Earle_extension wikiPageID "36673510".
- Douady–Earle_extension wikiPageLength "12864".
- Douady–Earle_extension wikiPageOutDegree "24".
- Douady–Earle_extension wikiPageRevisionID "610971059".
- Douady–Earle_extension wikiPageWikiLink Adrien_Douady.
- Douady–Earle_extension wikiPageWikiLink Arne_Beurling.
- Douady–Earle_extension wikiPageWikiLink Arzelà–Ascoli_theorem.
- Douady–Earle_extension wikiPageWikiLink Beltrami_equation.
- Douady–Earle_extension wikiPageWikiLink Category:Complex_analysis.
- Douady–Earle_extension wikiPageWikiLink Cauchy–Schwarz_inequality.
- Douady–Earle_extension wikiPageWikiLink Cross-ratio.
- Douady–Earle_extension wikiPageWikiLink Fuchsian_group.
- Douady–Earle_extension wikiPageWikiLink Harmonic_function.
- Douady–Earle_extension wikiPageWikiLink Hölder_condition.
- Douady–Earle_extension wikiPageWikiLink Implicit_function_theorem.
- Douady–Earle_extension wikiPageWikiLink Lars_Ahlfors.
- Douady–Earle_extension wikiPageWikiLink Mathematics.
- Douady–Earle_extension wikiPageWikiLink Poisson_kernel.
- Douady–Earle_extension wikiPageWikiLink Quasiconformal_mapping.
- Douady–Earle_extension wikiPageWikiLink Quasisymmetric_map.
- Douady–Earle_extension wikiPageWikiLink Radó–Kneser–Choquet_theorem.
- Douady–Earle_extension wikiPageWikiLink Simply_connected_space.
- Douady–Earle_extension wikiPageWikiLink Teichmüller_space.
- Douady–Earle_extension wikiPageWikiLinkText "an extension".
- Douady–Earle_extension wikiPageUsesTemplate Template:Citation.
- Douady–Earle_extension wikiPageUsesTemplate Template:Harvtxt.
- Douady–Earle_extension subject Category:Complex_analysis.
- Douady–Earle_extension hypernym Way.
- Douady–Earle_extension comment "In mathematics, the Douady–Earle extension, named after Adrien Douady and Clifford Earle, is a way of extending homeomorphisms of the unit circle in the complex plane to homeomorphisms of the closed unit disk, such that the extension is a diffeomorphism of the open disk. The extension is analytic on the open disk.".
- Douady–Earle_extension label "Douady–Earle extension".
- Douady–Earle_extension sameAs Q5299535.
- Douady–Earle_extension sameAs m.0kvjd1c.
- Douady–Earle_extension sameAs Q5299535.
- Douady–Earle_extension wasDerivedFrom Douady–Earle_extension?oldid=610971059.
- Douady–Earle_extension isPrimaryTopicOf Douady–Earle_extension.