eccentricity. Quasiconformal mappings are a generalization of conformal mappings that permit the bounded distortion of angles locally. Quasiconformal mappings were...

of Teichmüller to the study of moduli was the introduction of quasiconformal mappings to the subject. They allow us to give much more depth to the study...

conformal mappings, gave a treatment based on the work of Herbert Grötzsch and René de Possel from the early 1930s; it was the precursor of quasiconformal mappings...

57008. Connes, Alain; Sullivan, Dennis; Teleman, Nicolae (1994). "Quasiconformal mappings, operators on Hilbert space and local formulae for characteristic...

curve in the complex plane that is the image of a circle under a quasiconformal mapping of the plane onto itself. Originally introduced independently by...

correspondence under quasiconformal mappings. Acta Math. 96 (1956), 125–142. doi:10.1007/BF02392360 Ahlfors, Lars; Bers, Lipman. Riemann's mapping theorem for...

include orientation-reversing mappings whose Jacobians can be written as any scalar times any orthogonal matrix. For mappings in two dimensions, the...

for some fixed 1 < p < ∞ and some ω, then ω ∈ Ap. For K > 1, a K-quasiconformal mapping is a homeomorphism  f  : Rn →Rn such that f ∈ W l o c 1 , 2 ( R...

contributions to complex analysis, including the introduction of quasiconformal mappings and differential geometric methods into the study of Riemann surfaces...

necessarily their size or curvature. In mathematical complex analysis, a quasiconformal mapping, introduced by Grötzsch (1928) and named by Ahlfors (1935), is a...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

20th century. Complex analysis, in particular the theory of conformal mappings, has many physical applications and is also used throughout analytic number...

analysis, harmonic analysis, partial differential equations, and quasiconformal mapping. The journal is abstracted and indexed in MathSciNet Science Citation...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

In the mathematical theory of conformal and quasiconformal mappings, the extremal length of a collection of curves Γ {\displaystyle \Gamma } is a measure...

group Γ can be read off from such a polygon. Using the theory of quasiconformal mappings and the Beltrami equation, it can be shown there is a canonical...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

theory of quasiconformal mappings. Various uniformization theorems can be proved using the equation, including the measurable Riemann mapping theorem and...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

the winding number is an alternate term for the degree of a continuous mapping. In physics, winding numbers are frequently called topological quantum...

a direct generalization of the Riemann mapping theorem, but instead a result concerning quasiconformal mappings and solutions of the Beltrami equation...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

manifold Conformal map Quasiconformal mapping Riemann surface Schwarz lemma Winding number Analytic continuation Riemann's mapping theorem People Augustin-Louis...

The lemma is less celebrated than deeper theorems, such as the Riemann mapping theorem, which it helps to prove. It is, however, one of the simplest results...

minimality results related to the Bloch and Landau constants". Quasiconformal mappings and analysis. Ann Arbor: Springer, New York. pp. 55–89. Bloch,...