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Über die Äquivalenz der geometrischen und der analytischen Definition quasikonformer Abbildungen

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Commentarii Mathematici Helvetici

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Referenzen

  1. L. V. Ahlfors,On quasiconformal mappings. Journal d'Analyse Mathématique, 3 (1954), 1–58 und 207–208.

    Article  MathSciNet  Google Scholar 

  2. L. Bers,On a theorem of Mori and the definition of quasiconformality. Trans. Amer. Math. Soc., 68 (1957), 78–84.

    Article  MathSciNet  Google Scholar 

  3. L. Bers undL. Nirenberg,On a representation theorem for linear elliptic systems with discontinuous coefficients and its applications. Convegno Internationale sulle Equazioni à Derivate partiali. Agosto 1954, pp. 111–140.

  4. R. Cacciopoli,Fundamenti per una teoria generale delle funzioni pseudo-analitiche di una variabile complessa. Academia Nazionale dei Lincei, Rend. 13 (1952), 197–204 und 321–351.

    Google Scholar 

  5. G. C. Evans,Fundamental points of potential theory. Rice Institute Pamphlets, VII (1920) No. 4, pp. 252–329.

    Google Scholar 

  6. H. Grötzsch,Über die Verzerrung bei schlichten nicht-konformen Abbildungen und eine damit zusammenhängende Erweiterung des Picard schen Satzes. Leipziger Berichte, 80 (1928), 503–507.

    Google Scholar 

  7. A. Mori,On quasi-conformality and pseudo-analyticity. Trans. Amer. Math. Society, 68 (1957), 56–57.

    Article  Google Scholar 

  8. C. B. Morrey,On the solutions of quasi-linear elliptic partial differential equations. Trans. Amer. Math. Soc., 43 (1938), 126–166.

    Article  MathSciNet  MATH  Google Scholar 

  9. A. Pfluger,Quasikonforme Abbildungen und logarithmische Kapazität. Ann. de l'Inst. Fourier, 2 (1951), 69–80.

    MathSciNet  Google Scholar 

  10. T. Radó, P. V. Reichelderfer,Continuous transformations in analysis. Grundlehrenband LXXV, Springer-Verlag, Berlin 1955.

    MATH  Google Scholar 

  11. E. Rengel,Über einige Schlitz-Theoreme der konformen Abbildung. Schr. des Math. Seminars und Institutes f. angew. Math. der Universität Berlin, 1 (1933), 141–162.

    Google Scholar 

  12. K. Strebel,On the Maximal Dilitation of Quasikonformal Mappings. Proc. Amer. Math. Soc., 6 (1955), 903–909.

    Article  MathSciNet  MATH  Google Scholar 

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Meinem verehrten Lehrer,G. Pólya, zu seinem siebzigsten Geburtstag

This research was sponsered by the Office of Naval Research and performed during the authors stay at Stanford University.

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Pfluger, A. Über die Äquivalenz der geometrischen und der analytischen Definition quasikonformer Abbildungen. Commentarii Mathematici Helvetici 33, 23–33 (1959). https://doi.org/10.1007/BF02565903

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