Tibor Radó's List of Publications


  1. On the roots of algebraic equations, Math. és Phys. Lapok 28 (1921), 32-37. In Hungarian.
  2. Zur Theorie der mehrdeutigen konformen Abbildungen, Acta. Math. Szeged 1 (1922), 55-64.
  3. Bemerkungen zu einem Unitätssatze der konformen Abbildung, Acta. Math. Szeged 1 (1923), 101-103.
  4. Sur la représentation de domaines variables, Acta. Math. Szeged 1 (1923), 180-186.
  5. Über die Fundamentalabbildung schlichter Gebiete, Acta. Math. Szeged 1 (1924), 240-251.
  6. Bemerkung zur Arbeit des Herrn Bieberbach: Über die Einordnung des Hauptsatzes der Uniformisierung in die Weierstraszsche Funktionentheorie (Math. Ann. 78), Math. Ann. 90 (1923), 30-37.
  7. Bemerkung zu einem Blaschkeschen Konvergenzsatze, Jahresber. Deutsch. Math. Verein. 32 (1924), 198-200. With K. Löwner.
  8. Über die konforme Abbildung schlichter Gebiete, Acta. Math. Szeged 2 (1924), 47-60.
  9. Ein Beispiel zur Theorie der konformen Abbildung, Tohoku Math. J. 24 (1924), 47-60.
  10. Über eine nicht fortsetzbare Riemannsche Mannigfaltkeit, Math. Z. 20 (1924), 1-6.
  11. Über den Begriff der Riemannschen Fläche, Acta. Math. Szeged 2 (1925), 101-121.
  12. Über die erste Randwertaufgabe für $\Delta u = 0$, Math. Z. 22 (1925), 42-44. With F. Riesz.
  13. Über den analytischen Charakter der Minimalflächen, Math. Z. 24 (1925), 321-327.
  14. Bemerkung über die Differentialgleichung zweidimensionaler Variationsprobleme, Acta. Math. Szeged 2 (1925), 147-156.
  15. Sur le calcul de l'aire des surfaces courbes, C. R. Paris 183, (1926) 588-590.
  16. Aufgabe 41, Jahresber. Deutsch. Math. Verein. 35 (1926), p. 49.
  17. Bemerkungen zur Arbeit von Herrn Ch. H. Müntz über das Plateausche Problem (Math. Annalen 94, S. 53-96), Math. Ann. 96 (1926), 587-596.
  18. Das Hilbertsche Problem über den analytischen Charakter der Lösungen der partiellen Differentialgleichungen zweiter Ordnung, Math. Z. 25 (1926), 514-589.
  19. Geometrische Betrachtungen über zweidimensionalle reguläre Variationsprobleme, Acta. Math. Szeged 2 (1926), 228-253.
  20. Sur le calcul de l'aire des surfaces courbes, Fund. Math. 10 (1927), 197-210.
  21. Sur l'aire des surfaces courbes, Acta. Math. Szeged 3 (1927), 63-65.
  22. Sur l'aire des surfaces courbes, C. R. Paris 184 (1927), 63-65.
  23. Bemerkungen über das Doppelintegral $\int\int (1 + p^2 + q^2)^{1/2} dx dy$, Math. Z. 26 (1927), 408-416.
  24. Zu einem Satze von S. Bernstein über Minimalflächen in Grossen, Math. Z. 26, 559-565.
  25. Sur un problèm relatif à un théorème de Vitali, Fund. Math. 11 (1928), 228-229.
  26. Über das Flächenmass rektifizierbarer Flächen, Math. Ann. 100 (1928), 228-229.
  27. On surface area, Math. és Term.-tud. Ért. 45 (1928), 225-244. In Hungarian.
  28. Sur l'aire des surfaces continues, Atti. Congr. Internaz. Mat. Bologna 3-10 Settembre 1928, vol. 2, 355-360.
  29. Remarque sur les fonctions subharmoniques, C. R. Paris 186 (1928), 346-348.
  30. Conformal representations of convex regions, Math. és Phys. Lapok 35 (1929), 1-9. In Hungarian.
  31. Über zweidimensionale reguläre Variationsprobleme, Math. Ann. 101 (1929), 620-632.
  32. Bemrkung über die konformen Abbildungen konvexer Gebiete, Math. Ann. 102 (1929), 428-429.
  33. The problem of least area and the problem of Plateau, Math. Z. 32 (1930), 763-796.
  34. Some remarks on the problem of Plateau, Proc. Nat. Acad. Sci. U.S.A 16 (1930), 242-248.
  35. On Plateau's problem, Ann. of Math. 32 (1930), 457-459.
  36. On the functional of Mr. Douglas, Ann. of Math. 32 (1931), 785-803.
  37. Contributions to the theory of minimal surfaces, Acta. Math. Szeged 6 (1932), 1-20.
  38. On mathematical life in Hungary, Amer. Math. Monthly 39 (1932), 85-90.
  39. On surface area, Mathesis Polska, 7 (1932), 1-18. In Polish.
  40. Subharmonic functions and minimal surfaces, Trans. Amer. Math. Soc. 35 (1933), 648-661. With E. F. Beckenbach.
  41. Subharmonic functions and surfaces of negative curvature, Trans. Amer. Math. Soc. 35 (1933), 662-674. With E. F. Beckenbach.
  42. An iterative process in the problem of Plateau, Trans. Amer. Math. Soc. 35 (1933), 869-887.
  43. On the Problem of Plateau, Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 2. Berlin: Springer, 1933. Reprinted New York: Chelsea, 1951.
  44. On convex functions, Trans. Amer. Math. Soc. 37 (1935), 266-285.
  45. The isoperimetric inequality on the sphere, Amer. J. Math. 57 (1935), 765-770.
  46. On a converse of Kneser's transversality theorem, Ann. of Math. 36 (1935), 749-769. With L. La Paz.
  47. A remark on the area of surfaces, Amer. J. Math. 58 (1936), 598-606.
  48. On continuous transformations in the plane, Fund. Math. 27 (1936), 201-211.
  49. A lemma on the topological index, Fund. Math. 27 (1936), 212-221.
  50. Solution of a problem of F. Riesz on the harmonic majorants of subharmonic functions, Duke Math. J. 3 (1937), 123-132.
  51. Subharmonic Functions, Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 5. Berlin: Springer, 1937.
  52. On the derivative of the Lebesgue area of continuous surfaces, Fund. Math. 30 (1938), 34-39.
  53. On absolutely continuous transformations in the plane, Duke Math. J. 4 (1938), 189-221.
  54. On a stretching process for surfaces, Amer. J. Math. 61 (1939), 645-650. With P. V. Reichelderfer.
  55. Cyclic transitivity, Duke Math. J. 6 (1940), 474-485. With P. V. Reichelderfer.
  56. On upper semi-continuous collections, Acta. Math. Szeged 9 (1940), 239-243. With J. W. T. Youngs.
  57. On a lemma of McShane, Ann. of Math. 42 (1941), 73-83.
  58. Note on an inequality of Steiner, Bull. Amer. Math. Soc. 47 (1941), 102-108. With P. V. Reichelderfer.
  59. A theory of absolutely continuous transformations in the plane, Trans. Amer. Math. Soc. 49 (1941), 258-307. With P. V. Reichelderfer.
  60. On the semi-continuity of double integrals in parametric form, Trans. Amer. Math. Soc. 51 (1942), 336-361.
  61. On semi-continuity, Amer. Math. Monthly 49 (1942), 446-450.
  62. Convergence in length and convergence in area, Duke Math. J. 9 (1942), 527-565. With P. V. Reichelderfer.
  63. What is the area of a surface?, Amer. Math. Monthly 50 (1943), 139-141.
  64. On continuous path-surfaces of zero area, Ann. of Math. 44 (1943), 173-191.
  65. On a problem of Geöcze, Amer. J. Math. 65 (1943), 361-381.
  66. On the transformations of double integrals, Trans. Amer. Math. Soc. 54 (1943), 83-102. With R. G. Helsel.
  67. Functions of rectangles, Duke Math. J. 11 (1944), 487-496.
  68. Some remarks on the problem of Geöcze, Duke Math. J. 11 (1944), 497-506.
  69. On surface area, Proc. Nat. Acad. Sci. U.S.A. 31 (1945), 102-106.
  70. On continuous mappings of Peano spaces, Trans. Amer. Math. Soc. 58 (1945), 420-454.
  71. The isoperimetric inequality and the Lebesgue definition of surface area, Trans. Amer. Math. Soc. 61 (1947), 530-555.
  72. On two-dimensional concepts of bounded variation and absolute continuity, Duke Math. J. 14 (1947), 587-508.
  73. On cyclic transitivity, Fund. Math. 34 (1947), 14-20. With P. V. Reichelderfer.
  74. Length and Area, Amer. Math. Soc. Coll. Publ., Vol. 30. New York: American Mathematical Society, 1948.
  75. A note on convergence in length, Bull. Amer. Math. Soc. 54 (1948), 533-539. With M. C. Ayer.
  76. On Schreier systems in free groups, Trans. Amer. Math. Soc. 64 (1948), 386-408. With Marshall Hall.
  77. The Cauchy area of a Fréchet surface, Duke Math. J. 15 (1948), 159-167. With R. G. Helsel.
  78. A new geometrical interpretation of the Lebesgue area of a surface, Duke Math. J. 15 (1948), 169-180. With E. J. Mickle.
  79. On essentially absolutely continuous plane transformations, Bull. Amer. Math. Soc. 55 (1949), 629-632.
  80. On the problem of Geöcze, Ann. Scuola Norm. Sup. Pisa (2) 14 (1948), 21-30.
  81. On cyclic additivity theorems, Trans. Amer. Math. Soc. 66 (1949), 347-365. With E. J. Mickle.
  82. Convergence in area, Duke Math. J. 16 (1949), 61-71.
  83. On n-dimensional concepts of bounded variation, absolute continuity, and generalized Jacobian. Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 678-681. With P. V. Reichelderfer.
  84. On upper semi-continuous functions, Proc. Amer. Math. Soc. 1 (1950), 226-230. With E. J. Mickle.
  85. On generalized Jacobians, Trans. Amer. Math. Soc. 68 (1950), 405-419. With P. V. Reichelderfer.
  86. On identifications in singular homology theory, Revista Mat. Univ. Parma 2 (1951), 3-18.
  87. An approach to singular homology theory, Pacific J. Math. 1 (1951), 265-290.
  88. A remark on chain-homotopy, Proc. Amer. Math. Soc. 2 (1951), 458-463.
  89. On a theorem of Besicovitch in surface area theory, Revista Mat. Univ. Parma 2 (1951), 19-45. With E. J. Mickle.
  90. On generalized Lipschitzian transformations, Revista Mat. Univ. Parma 2 (1951), 289-301. With P. V. Reichelderfer.
  91. Sulla teoria delle omologie singolari, Mem. Accad. Sci. Ist. Bologna. Cl. Sci. Fis. (10) 8 (1950-51), 57-63.
  92. Applications of area theory in analysis, Proc. Int. Congr. of Math. Cambridge, MA, 1950, Vol. 2, 174-179. Providence, RI: American Mathematical Society, 1952. With L. Cesari.
  93. On the infinitesimal rigidity of surfaces, Osaka Math. J. 4 (1952), 241-285. With T. Minagawa.
  94. On general cohomology theory, Proc. Amer. Math. Soc. 4 (1953), 244-246.
  95. On the infinitesimal rigidity of surfaces of revolution, Math. Z. 59 (1953), 151-163. With T. Minagawa.
  96. The Mathematical Theory of Rigid Surfaces: An Application of Modern Analysis, Lectures presented at a summer conference in collegiate mathematics, sponsored by the National Science Foundation at the University of North Carolina. Chapel Hill, NC., 1954.
  97. On multiplicity functions associated with Lebesgue area, Rend. Circ. Mat. Palermo (2) 4 (1955), 219-236.
  98. Continuous Transformations in Analysis With an Introduction to Algebraic Topology, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Vol. 75. Berlin: Springer, 1955. With P. V. Reichelderfer.
  99. On the space of oriented lines in Euclidean three-space. Amer. Math. Monthly 64 (1957), 79-89.
  100. Lebesgue area and Hausdorff measure, Fund. Math. 44 (1957), 198-237.
  101. On rigidity properties of developable surfaces, J. Math. Mech. 7 (1958), 419-432. With E. Kreyszig.
  102. On covering theorems, Fund. Math. 45 (1958), 325-331. With E. J. Mickle.
  103. Density theorems for outer measures in n-space, Proc. Amer. Math. Soc. 9 (1958), 433-439. With E. J. Mickle.
  104. On reduced Carathéodory outer measures, Rend. Circ. Mat. Palermo (2) 7 (1958), 5-33. With E. J. Mickle.
  105. A uniqueness theorem for Haar measure, Trans. Amer. Math. Soc. 93 (1959), 492-508. With E. J. Mickle.
  106. On density theorems for outer measures, Rozprawwy Mat. 21 (1960), 48 pp. With E. J. Mickle.
  107. On non-computable functions, Bell System Tech. J. 41 (1962), 877-884.
  108. On a simple source for non-computable functions. Proc. Sympos. Math. Theory of Automata (New York, 1962), 75-81. Brooklyn, NY: Polytechnic Press of Polytechnic Inst. of Brooklyn, 1963.
  109. A generalization of Nelson's algorithm for obtaining prime implicants, J. Symbolic Logic 30 (1965), 8-12. With R. W. House.
  110. Computer studies of Turing machine problems, J. Assoc. Comput. Mach. 12 (1965), 196-212. With S. Lin.

Department of Mathematics


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