A one-parameter family of operators defined on analytic functions in a circle

  • Yûsaku Komatu
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 798)


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  1. [1]
    GELFOND, A.O. and A.F. LEONT'EV: On a generalization of Fourier series, Mat. Sbornik N.S. 29 (71) (1951), 477–500.MathSciNetGoogle Scholar
  2. [2]
    HAUSDORFF, F.: Summationsmethoden und Momentfolgen, Math. Z. 9 (1921), 74–109 and 280–299.MathSciNetCrossRefGoogle Scholar
  3. [3]
    NOSHIRO, K.: On the univalency of certain analytic functions, J.Fac. Sci.Hokkaido Imp. Univ. (1) 2 (1934), 89–101.zbMATHGoogle Scholar
  4. [4]
    POMMERENKE, C.: Univalent functions. Studia Math. 25 (Göttingen) (1975), p.24 et seq.MathSciNetGoogle Scholar
  5. [5]
    SHOHAT, J.A. and J.D.TAMARKIN: The problem of moments, Math.Surveys 1, Amer. Math. Soc. (New York) (1943), pp. 9 and 11.Google Scholar
  6. [6]
    WOLFF, J.: L'intégrale d'une fonction holomorphe et à partie réelle positive dans un demi-plan est univalente, C.R. Acad. Paris 198 (1934), 1209–1210.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Yûsaku Komatu
    • 1
  1. 1.Department of MathematicsChuo UniversityTokyoJapan

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