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quasiconformal function

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  • Quasiconformal mapping — In mathematics, the concept of quasiconformal mapping, introduced as a technical tool in complex analysis, has blossomed into an independent subject with various applications. Informally, a conformal homeomorphism is a homeomorphism between plane …   Wikipedia

  • Muckenhoupt weights — In mathematics, the class of Muckenhoupt weights Ap consists of those weights ω for which the Hardy–Littlewood maximal operator is bounded on Lp(dω). Specifically, we consider functions f on and their associated maximal functions M(f) defined as… …   Wikipedia

  • Extremal length — In the mathematical theory of conformal and quasiconformal mappings, the extremal length of a collection of curves Gamma is a conformal invariant of Gamma. More specifically, suppose thatD is an open set in the complex plane and Gamma is a… …   Wikipedia

  • Geometric group theory — is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the… …   Wikipedia

  • Mitsuhiro Shishikura — (宍倉 光広, Shishikura Mitsuhiro?, born November 27, 1960) is a Japanese mathematician working in the field of complex dynamics. He is currently professor at Kyoto University in Japan. Shishikura became internationally recognized[1] for two of his… …   Wikipedia

  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • Distortion (mathematics) — In mathematics, the distortion is a measure of the amount by which a function from the Euclidean plane to itself distorts circles to ellipses. If the distortion of a function is equal to one, then it is conformal; if the distortion is bounded and …   Wikipedia

  • List of mathematics articles (Q) — NOTOC Q Q analog Q analysis Q derivative Q difference polynomial Q exponential Q factor Q Pochhammer symbol Q Q plot Q statistic Q systems Q test Q theta function Q Vandermonde identity Q.E.D. QED project QR algorithm QR decomposition Quadratic… …   Wikipedia

  • Lars Ahlfors — Infobox Scientist name = Lars Ahlfors image width = caption = Lars Ahlfors birth date = birth date|1907|04|18 birth place = Helsinki, Finland death date = death date and age|1996|10|11|1907|04|18 death place = nationality = Finland field =… …   Wikipedia

  • Oswald Teichmüller — Born June 13, 1913(1913 06 13) Nordhausen, German Empire Died September 11, 1943(1943 09 …   Wikipedia

  • Isothermal coordinates — In mathematics, specifically in differential geometry, isothermal coordinates on a Riemannian manifold are local coordinates where the metric is conformal to the Euclidean metric. This means that in isothermalcoordinates, the Riemannian metric… …   Wikipedia

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