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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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A linear operator method on arbitrary Riemann surfaces
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by Leo Sario PDF
Trans. Amer. Math. Soc. 72 (1952), 281-295 Request permission
References
  • Lars V. Ahlfors, Open Riemann surfaces and extremal problems on compact subregions, Comment. Math. Helv. 24 (1950), 100–134. MR 36318, DOI 10.1007/BF02567028
  • Lars V. Ahlfors, Remarks on the classification of open Riemann surfaces, Ann. Acad. Sci. Fennicae Ser. A. I. Math.-Phys. 1951 (1951), no. 87, 8. MR 43912
  • Lars Ahlfors and Arne Beurling, Conformal invariants and function-theoretic null-sets, Acta Math. 83 (1950), 101–129. MR 36841, DOI 10.1007/BF02392634
  • H. L. Royden, Some remarks on open Riemann surfaces, Ann. Acad. Sci. Fennicae Ser. A. I. Math.-Phys. 1951 (1951), no. 85, 8. MR 43914
  • Leo Sario, Über Riemannsche Flächen mit hebbarem Rand, Ann. Acad. Sci. Fennicae Ser. A. I. Math.-Phys. 1948 (1948), no. 50, 79 (German). MR 27859
  • Leo Sario, Sur la classification des surfaces de Riemann, Den 11te Skandinaviske Matematikerkongress, Trondheim, 1949, Johan Grundt Tanums Forlag, Oslo, 1952, pp. 229–238 (French). MR 0054052
  • Leo Sario, Sur le problème du type des surfaces de Riemann, C. R. Acad. Sci. Paris 229 (1949), 1109–1111 (French). MR 32759
  • Leo Sario, Existence des fonctions d’allure donnée sur une surface de Riemann arbitraire, C. R. Acad. Sci. Paris 229 (1949), 1293–1295 (French). MR 32760
  • Leo Sario, Quelques propriétés à la frontière se rattachant à la classification des surfaces de Riemann, C. R. Acad. Sci. Paris 230 (1950), 42–44 (French). MR 32761
  • Leo Sario, Existence des intégrales abéliennes sur les surfaces de Riemann arbitraires, C. R. Acad. Sci. Paris 230 (1950), 168–170 (French). MR 32762
  • Leo Sario, Questions d’existence au voisinage de la frontière d’une surface de Riemann, C. R. Acad. Sci. Paris 230 (1950), 269–271 (French). MR 32763
  • —, On open Riemann surfaces, International Congress of Mathematicians, Cambridge, 1950. —, Linear operators on Riemann surfaces, Bull. Amer. Math. Soc. Abstract 57-4-304. —, Principal functions on Riemann surfaces, Bull. Amer. Math. Soc. Abstract 57-6-492. —, Existence of functions as a boundary property, Bull. Amer. Math. Soc. Abstract 58-1-23.
  • Leo Sario, An extremal method on arbitrary Riemann surfaces, Trans. Amer. Math. Soc. 73 (1952), 459–470. MR 54053, DOI 10.1090/S0002-9947-1952-0054053-8
  • —, Construction of functions with prescribed properties on Riemann surfaces, Conference on Riemann Surfaces in Commemoration of the Hundredth Anniversary of Riemann’s Inaugural Dissertation, Princeton, 1951, Annals of Mathematics Studies (to appear). H. A. Schwarz, Ges. Math. Abh., Berlin 1890, vol. II, pp. 133-171, 303-306, 356-358, 360-362.
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Additional Information
  • © Copyright 1952 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 72 (1952), 281-295
  • MSC: Primary 30.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1952-0046442-2
  • MathSciNet review: 0046442