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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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The conformal rigidity of certain subdomains on a Riemann surface
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by H. L. Royden PDF
Trans. Amer. Math. Soc. 76 (1954), 14-25 Request permission
References
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  • H. Grötzsch, Über die Verzerrung bei schlichter konformer Abbildung mehrfach-zusam-menhängender schlichter Bereiche, Berichte über die Verhandlung der Sächsichen Akademie der Wissenschaften zu Leipzig. Mathematisch-physiche Klasse vol. 83 (1931) pp. 283-297.
  • J. A. Jenkins and D. C. Spencer, Hyperelliptic trajectories, Ann. of Math. (2) 53 (1951), 4–35. MR 38431, DOI 10.2307/1969341
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  • H. L. Royden, The interpolation problem for schlicht functions, Ann. of Math. (2) 60 (1954), 326–344. MR 64147, DOI 10.2307/1969636
  • A. C. Schaeffer and D. C. Spencer, Coefficient Regions for Schlicht Functions, American Mathematical Society Colloquium Publications, Vol. 35, American Mathematical Society, New York, N. Y., 1950. With a Chapter on the Region of the Derivative of a Schlicht Function by Arthur Grad. MR 0037908
  • M. Schiffer and D. C. Spencer, Functionals of finite Riemann surfaces, Princeton, 1952.
  • Max Shiffman, On the isoperimetric inequality for saddle surfaces with singularities, Studies and Essays Presented to R. Courant on his 60th Birthday, January 8, 1948, Interscience Publishers, Inc., New York, 1948, pp. 383–394. MR 0023092
  • O. Teichmüller, Ungleichungen zwischen den Koeffizienten schlichter Funktionen, Preuss. Akad. Wiss. Sitzungsber. (1938) pp. 363-375.
  • Oswald Teichmüller, Extremale quasikonforme Abbildungen und quadratische Differentiale, Abh. Preuss. Akad. Wiss. Math.-Nat. Kl. 1939 (1940), no. 22, 197 (German). MR 0003242
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Additional Information
  • © Copyright 1954 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 76 (1954), 14-25
  • MSC: Primary 30.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1954-0059377-8
  • MathSciNet review: 0059377