Ahlfors theory is a mathematical theory invented by Lars Ahlfors as a geometric counterpart of the Nevanlinna theory. Ahlfors was awarded one of the two very first Fields Medals for this theory in 1936.
It can be considered as a generalization of the basic properties of covering maps to the
maps which are "almost coverings" in some well defined sense. It applies to bordered Riemann surfaces equipped with conformal Riemannian metrics.
Ahlforstheory is a mathematical theory invented by Lars Ahlfors as a geometric counterpart of the Nevanlinna theory. Ahlfors was awarded one of the two...
on complex analysis. Ahlfors was born in Helsinki, Finland. His mother, Sievä Helander, died at his birth. His father, Axel Ahlfors, was a professor of...
called the Ahlfors–Shimizu characteristic. The bounded term O(1) is not important in most questions. The geometric meaning of the Ahlfors—Shimizu characteristic...
discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential...
a quasiconformal mapping, introduced by Grötzsch (1928) and named by Ahlfors (1935), is a homeomorphism between plane domains which to first order takes...
The theorem was proved by Lars Ahlfors (1964, 1965), apart from a gap that was filled by Greenberg (1967). The Ahlfors finiteness theorem states that...
transformations. Ahlforstheory A part of complex analysis being the geometric counterpart of Nevanlinna theory. It was invented by Lars Ahlfors. Algebra One...
Introduction to the Theory of Analytic Functions of One Complex Variable, by Lars Ahlfors Complex Analysis, by Elias Stein Functional Analysis: Introduction to Further...
McGraw Hill. ISBN 978-0-070-54235-8. Ahlfors, Lars Valerian (1978). Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex...
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...
1992, p. 88 Ahlfors 1966, p. 98 See Ahlfors 1966, p. 99 Bers, John & Schechter 1979, p. 277 See: Douady & Buff 2000 Glutsyuk 2008 Ahlfors 1966 Astala...
Universitext. Springer. p. 64. ISBN 0-387-95447-3. MR2014924 Apostol 1981, p. 25. Ahlfors, Lars (1979). Complex analysis (3rd ed.). McGraw-Hill. ISBN 978-0-07-000657-7...
Canonical Conformal Maps of Multiply Connected Regions was advised by Lars Ahlfors and Joseph Leonard Walsh. Landau later became Distinguished Member of Technical...
March 2023. Retrieved 9 September 2022. Ahlfors, Lars V. (1979). Complex analysis : an introduction to the theory of analytic functions of one complex variable...
equal to R2. This relation has been used classically in Vekua (1962) and Ahlfors (1966) to establish the continuity properties of T on Lp spaces. The results...
"Lars Valerian Ahlfors (1907–1996)" (PDF). Ams.org. Archived (PDF) from the original on 3 March 2022. Retrieved 31 March 2017. "Lars Ahlfors (1907–1996)"...
bounded analytic functions outside K. It was first introduced by Lars Ahlfors in the 1940s while studying the removability of singularities of bounded...
Rudin, Walter (1986). Real and complex analysis. McGraw-Hill. p. 2. Ahlfors, Lars (1966). Complex analysis. McGraw-Hill. p. 46. Bourbaki, Nicolas (1981)...
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