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On the construction of smooth quasiconformal automorphisms of the plane mapping a given smooth curve onto a circle

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Literature Cited

  1. L. Ahlfors, Lectures on Quasiconformal Mappings [Russian translation], Mir, Moscow (1969).

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  2. I. N. Vekua, Generalized Analytic Functions [in Russian], Fizmatgiz, Moscow (1959).

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  3. G. M. Goluzin, Geometric Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1966).

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  4. S. Warschawski, “Über das Randverhalten der Ableitung der Abbildungsfunktion bei Konformer Abbildung,” Math. Z.,35, Nos. 3–4, 321–456 (1932).

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Authors
  1. V. A. Danilov
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Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 14, No. 6, pp. 1341–1345, November–December, 1973.

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Danilov, V.A. On the construction of smooth quasiconformal automorphisms of the plane mapping a given smooth curve onto a circle. Sib Math J 14, 946–949 (1973). https://doi.org/10.1007/BF00975902

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  • DOI: https://doi.org/10.1007/BF00975902

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