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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the degree of variation in conformal mapping of variable regions
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by S. E. Warschawski PDF
Trans. Amer. Math. Soc. 69 (1950), 335-356 Request permission
References
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  • Jacqueline Ferrand, Étude de la correspondence entre les frontières dans la représentation conforme, Bull. Soc. Math. France 70 (1942), 143–174 (French). MR 11727, DOI 10.24033/bsmf.1342
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  • C. Gattegno and A. Ostrowski, Représentation conforme à la frontière: domaines généraux, Memorial des Sciences Mathématiques, vol. 109, 1949. —, Représentation conforme à la frontière: domaines particuliers, Memorial des Sciences Mathématiques, vol. 110, 1949. M. Lavrientieff, Sur la continuité des fonctions univalentes, C. R. (Doklady) Acad. Sci. USSR. vol. IV (1936) pp. 215-217. —, Sur la représentation conforme, C. R. Acad. Sci. Paris vol. 184 (1927) pp. 1407-1409. E. Lindelöf, Sur un principe général de l’analyse et ses applications à la représentation conforme, Acta Societatis Scientiarum Fennicae vol. 46, No. 4 (1915) pp. 1-35. A. R. Marchenko, Sur la représentation conforme, C. R. (Doklady) Acad. Sci. USSR. vol. 1 (1935) pp. 289-290. A. Markoushevitch, Sur la représentation conforme des domaines à frontières variables, Matematicheskij Sbornik vol. 43 (1936) pp. 864-886. F. J. Polansky, Some approximation theorems in conformal mapping, Thesis, University of Minnesota. T. Radó, Sur la représentation conforme des domaines variables, Acta Litterarum ac Scientiarum, Universitatis Francisco-Josephinae vol. 1 (1923) pp. 180-186.
  • G. Szegö, Zur Theorie der schlichten Abbildungen, Math. Ann. 100 (1928), no. 1, 188–211 (German). MR 1512482, DOI 10.1007/BF01448843
  • S. E. Warschawski, On conformal mapping of regions bounded by smooth curves, Proc. Amer. Math. Soc. 2 (1951), 254–261. MR 41231, DOI 10.1090/S0002-9939-1951-0041231-1
  • Julius Wolff, Sur la représentation conforme des bandes, Compositio Math. 1 (1935), 217–222 (French). MR 1556888
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Additional Information
  • © Copyright 1950 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 69 (1950), 335-356
  • MSC: Primary 30.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1950-0037912-X
  • MathSciNet review: 0037912