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Bulletin of the American Mathematical Society

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Orientation-preserving mappings, a semigroup of geometric transformations and a class of integral operators


Author: Antonio O. Farias
Journal: Bull. Amer. Math. Soc. 77 (1971), 422-424
MSC (1970): Primary 57D40, 47D05, 44A35; Secondary 30A90, 47E05, 44A15
MathSciNet review: 0286123
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References [Enhancements On Off] (What's this?)

  • 1. Donald C. Benson, Extensions of a theorem of Loewner on integral operators, Pacific J. Math. 9 (1959), 365–377. MR 0108691
  • 2. Charles Loewner, A topological characterization of a class of integral operators, Ann. of Math. (2) 49 (1948), 316–332. MR 0024487
  • 3. Charles J. Titus, The combinatorial topology of analytic functions on the boundary of a disk, Acta Math. 106 (1961), 45–64. MR 0166375
  • 4. Hassler Whitney, On regular closed curves in the plane, Compositio Math. 4 (1937), 276–284. MR 1556973

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DOI: http://dx.doi.org/10.1090/S0002-9904-1971-12724-6