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A proof of a conjecture of loewner and of the caratheodory conjecture concerning umbilic points

Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 209)

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References

  1. [1]
    Bol, G., Über Nabelpunkte auf einer Eifläche, Math. Zeit. 49, (1944), 389–410.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    Hamburger, H., Beweis einer Caratheodoryschen Vermutung I, Ann. of Math (2) (1940) 63–86.Google Scholar
  3. [3,4]
    Hamburger, H., ____, II, III, Acta Math., (1941), 175–228, 229–332.Google Scholar
  4. [5]
    Klotz, T., On G. Bol’s Proof of the Caratheodory Conjecture, Comm. Pure Appl. Math. 12, (1959), 277–311MathSciNetCrossRefzbMATHGoogle Scholar
  5. [6]
    Little, J., Geometric Singularities, This volume, pp.Google Scholar
  6. [7]
    Loewner, C., A Topological Characterization of a Class of Integral Operators, Ann. of Math. (2), 41 (1940), 63–86.MathSciNetGoogle Scholar
  7. [8]
    Norton, V.T. Differential and Polynomial Transvections in the Plane, Thesis, Univ. of Mich. (1970), Ann Arbor.Google Scholar
  8. [9]
    Titus, C.J., The Combinatorial Topology of Analytic Functions on the Boundary of a disc, Acta Math. 106 (1961), 45–64.MathSciNetCrossRefzbMATHGoogle Scholar
  9. [10]
    Titus, C.J., Characterizations of the Restriction of a Holomorphic Function to the Boundary of a disc.Google Scholar
  10. [11]
    Titus, C.J. & Young, G.S. An Extension Theorem for a Class of Differential Operators, Mich. Math. J. 6 (1959), 195–204.MathSciNetCrossRefzbMATHGoogle Scholar

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© Springer-Verlag Berlin · Heidelberg 1971

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