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The American Mathematical Monthly Volume 47, 1940 - Issue 4
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Original Articles

Space Analogs of Function-Theoretic Results

E. F. BeckenbachThe Rice Institute
Pages 199-212 | Published online: 11 Apr 2018

References

  • E. F. Beckenbach, Minimal surfaces in Euclidean n-space, American Journal of Mathematics, vol. 55, 1933, pp. 458–468.
  • Maxwell Reade and E. F. Beckenbach, Generalizations to space of the Cauchy and Morera theorems, Proceedings of the National Academy of Sciences, vol. 25, 1939, pp. 92–97.
  • J. Douglas, The analytic prolongation of a minimal surface over a rectilinear segment of its boundary, Duke Mathematical Journal, vol. 5, 1939, pp. 21–29.
  • E. F. Beckenbach, Bloch's theorem for minimal surfaces, Bulletin of the American Mathematical Society, vol. 39, 1933, pp. 450–456.
  • E. F. Beckenbach, Minimal surfaces of uniplanar derivation, American Journal of Mathematics, vol. 54, 1932, pp. 718–728.
  • J. W. Hahn and E. F. Beckenbach, Triples of conjugate harmonic functions and minimal surfaces, Duke Mathematical Journal, vol. 4, 1936, pp. 698–704.
  • E. F. Beckenbach, The area and boundary of minimal surfaces, Annals of Mathematics, vol. 33, 1932, pp. 658–664.
  • E. F. Beckenbach, Remarks on the problem of Plateau, Duke Mathematical Journal, vol. 3, 1937, pp. 676–681.
  • E. F. Beckenbach and T. Radó, Sub-harmonic functions and minimal surfaces, Transactions of the American Mathematical Society, vol. 35, 1933, pp. 648–661.
  • E. F. Beckenbach and T. Radó, Sub-harmonic functions and surfaces of negative curvature, Transactions of the American Mathematical Society, vol. 35, 1933, pp. 662–674.
  • Tibor Radó, On Plateau's problem, Annals of Mathematics, vol. 31, 1930, pp. 457–469.
  • E. F. Beckenbach, A characteristic property of surfaces of negative curvature, Bulletin of the American Mathematical Society, vol. 40, 1934, pp. 761–768.
  • E. F. Beckenbach, On sub-harmonic functions, Duke Mathematical Journal, vol. 1, 1935, pp. 480–483.
  • T. Carleman, Zur Theorie der Minimalflächen, Mathematische Zeitschrift, vol. 9, 1921, pp. 154–160.
  • E. F. Beckenbach, On a theorem of Fejér and Riesz, Journal of the London Mathematical Society, vol. 13, 1938, pp. 82–86.
  • E. F. Beckenbach, A relative of the Lemma of Schwarz, Bulletin of the American Mathematical Society, vol. 44, 1938, pp. 698–707.

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