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Lectures on quasiconformal mappings
The Ahlfors Lectures: Acknowledgments Differentiable quasiconformal mappings The general definition Extremal geometric properties Boundary correspondence The mapping theorem Teichmuller spacesExpand
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Complex Analysis
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Conformal Invariants: Topics in Geometric Function Theory
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RIEMANN'S MAPPING THEOREM FOR VARIABLE METRICS*
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The boundary correspondence under quasiconformal mappings
We study boundary properties of quasiconformal self-mappings depending on complex dilatations. We give some new conditions for the corresponding quasisymmetric func- tion to be asymptoticallyExpand
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Complex analysis : an introduction to the theory of analytic functions of one complex variable / Lars V. Ahlfors
Chapter 1: Complex Numbers 1 The Algebra of Complex Numbers 1.1 Arithmetic Operations 1.2 Square Roots 1.3 Justification 1.4 Conjugation, Absolute Value 1.5 Inequalities 2 The GeometricExpand
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An extension of Schwarz’s lemma
and has the constant curvature -4. 2. Consider now an analytic function o =f(z) from the circle I zx < 1 to a Riemann surface W. The analyticity is expressed by the fact that every local parameter wExpand
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On quasiconformal mappings
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Quasiconformal reflections
Let L be a Jordan curve on the Riemann sphere, and denote its completmenta ry components by ~ , ~*. Suppose tha t there exists a sense-reversing quasiconformal mapping 2 of the sphere onto itselfsExpand
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