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- Measurable_Riemann_mapping_theorem abstract "In mathematics, the measurable Riemann mapping theorem is a theorem proved in 1960 by Lars Ahlfors and Lipman Bers in complex analysis and geometric function theory. Contrary to its name, it is not a direct generalization of the Riemann mapping theorem, but instead a result concerning quasiconformal mappings and solutions of the Beltrami equation. The result was prefigured by earlier results of Charles Morrey from 1938 on quasi-linear elliptic partial differential equations. The theorem of Alhfors and Bers states that if μ is a bounded measurable function on C with , then there is aunique solution f of the Beltrami equationfor which f is a quasiconformal homeomorphism of C fixing the points 0, 1 and ∞. A similar result is true with C replaced by the unit disk D. Their proof used the Beurling transform, a singular integral operator.".
- Measurable_Riemann_mapping_theorem wikiPageID "30947139".
- Measurable_Riemann_mapping_theorem wikiPageRevisionID "533385620".
- Measurable_Riemann_mapping_theorem hasPhotoCollection Measurable_Riemann_mapping_theorem.
- Measurable_Riemann_mapping_theorem subject Category:Theorems_in_complex_analysis.
- Measurable_Riemann_mapping_theorem type Abstraction100002137.
- Measurable_Riemann_mapping_theorem type Communication100033020.
- Measurable_Riemann_mapping_theorem type Message106598915.
- Measurable_Riemann_mapping_theorem type Proposition106750804.
- Measurable_Riemann_mapping_theorem type Statement106722453.
- Measurable_Riemann_mapping_theorem type Theorem106752293.
- Measurable_Riemann_mapping_theorem type TheoremsInComplexAnalysis.
- Measurable_Riemann_mapping_theorem comment "In mathematics, the measurable Riemann mapping theorem is a theorem proved in 1960 by Lars Ahlfors and Lipman Bers in complex analysis and geometric function theory. Contrary to its name, it is not a direct generalization of the Riemann mapping theorem, but instead a result concerning quasiconformal mappings and solutions of the Beltrami equation. The result was prefigured by earlier results of Charles Morrey from 1938 on quasi-linear elliptic partial differential equations.".
- Measurable_Riemann_mapping_theorem label "Measurable Riemann mapping theorem".
- Measurable_Riemann_mapping_theorem sameAs m.0gg581z.
- Measurable_Riemann_mapping_theorem sameAs Q6804163.
- Measurable_Riemann_mapping_theorem sameAs Q6804163.
- Measurable_Riemann_mapping_theorem sameAs Measurable_Riemann_mapping_theorem.
- Measurable_Riemann_mapping_theorem wasDerivedFrom Measurable_Riemann_mapping_theorem?oldid=533385620.
- Measurable_Riemann_mapping_theorem isPrimaryTopicOf Measurable_Riemann_mapping_theorem.