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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On distortion in pseudo-conformal mapping


Authors: Stefan Bergman and D. C. Spencer
Journal: Trans. Amer. Math. Soc. 51 (1942), 133-163
MSC: Primary 30.0X
MathSciNet review: 0005771
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  • [1] Stefan Bergman Über eine in der Theorie der Funktionen von zwei komplexen Veränderlichen auftretende unitäre Geometrie, Proceedings, Akademie van Wetenschappen, Amsterdam, vol. 36 (1933), pp. 307-313.
  • [2] -Sur quelques propriétés des transformations par un couple des fonctions de deux variables complexes, Rendiconti delle R. Accademia Nazionale dei Lincei, (6), vol. 19 (1934), pp. 474-478.
  • [3] -Über eine Abschätzung von meromorphen Funktionen zweier komplexen Veränderlichen in Bereichen mit ausgezeichneter Randfläche, Travaux de l'Institut Mathématique de Tbilissi, vol. 1 (1937), pp. 187-204.
  • [4] -Theory of pseudo-conformal transformations and its connection with differential geometry, Notes of lectures delivered at the Massachusetts Institute of Technology, 1939-1940 (available at the Brown University library).
  • [5] -Lectures on conformal mapping of multiply-connected domains (Partial Differential Equations, Advanced Topics), Publication of Brown University, 1941.
  • [6] -Sur les Fonctions Orthogonales de Plusieurs Variables Complexes avec les Applications à la Théorie des Fonctions Analytiques, Interscience Publishers, New York, 1941.
  • [1] A. Bermant Remarque sur le lemme de Schwarz, Comptes Rendus de l'Académie des Sciences, Paris, vol. 207 (1938), pp. 31-33.
  • [1] G. M. Golusin Einige Überdeckungssatze für die im Kreise regulären Funktionen, Recueil Mathématique, (n.s.), vol. 2(44) (1937), pp. 617-619.
  • [1] W. F. Osgood Lehrbuch der Funktionentheorie, vol. 2, part 1.
  • [1] D. C. Spencer, On finitely mean valent functions, Proc. London Math. Soc. (2) 47 (1941), 201–211. MR 0004904 (3,79a)
  • [2] D. C. Spencer, On an inequality of Grunsky, Proc. Nat. Acad. Sci. U. S. A. 26 (1940), 616–621. MR 0002587 (2,79c)
  • [3] D. C. Spencer, On a theorem of Rengels, J. Math. Phys. Mass. Inst. Tech. 20 (1941), 118–123. MR 0003236 (2,186b)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1942-0005771-2
PII: S 0002-9947(1942)0005771-2
Article copyright: © Copyright 1942 American Mathematical Society