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Meromorphe Approximationen

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Commentarii Mathematici Helvetici

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  1. N. U. Arakeljan,Approximation complexe et propriétés des fonctions analytiques, Actes Congrès intern. Math. 1970, tome 2, p. 595–600.

    Google Scholar 

  2. F. Bagemihl andW. Seidel,Some boundary properties of analytic functions. Math. Z.,61 (1954), 186–199.

    Article  MATH  MathSciNet  Google Scholar 

  3. T. Carleman,Sur un théorème de Weierstrass, Ark. Mat. Astr. Fys. 20 B, No 4 (1927).

  4. Th. W. Gamelin,Uniform Algebras, Prentice Hall, Inc. Englewood Cliffs, N.J. 1969.

    MATH  Google Scholar 

  5. F. Hartogs undA. Rosenthal,Über Folgen analytischer Funktionen, Math. Annalen100 (1928), 212–263, und104 (1931), 606–610.

    Article  MATH  MathSciNet  Google Scholar 

  6. W. Kaplan,Approximation by entire functions, The Michigan Math. J.,3, No. 1 (1955/56), 43–52.

    Article  Google Scholar 

  7. M. A. Lavrentieff,Sur les fonctions d'une variable complexe représentables par des séries de polynomes, Hermann, Paris 1936.

    MATH  Google Scholar 

  8. S. N. Mergelyan,On a theorem of M. A. Lavrentieff, Amer. Math. Soc. Translations, Ser. 1, Vol. 3, (Russische Originalpublikation 1951), p. 281–286.

    Google Scholar 

  9. S. N. Mergelyan,On the representation of functions by series of polynomials on closed sets,-ibid., p. 287–293. (Original 1951).

    Google Scholar 

  10. S. N. Mergelyan,Uniform approximations to functions of a complexe variable,-ibid., p. 294–391. (Original 1952). Diese Publikation enthält auch eine Darstellung früherer Arbeiten vonKeldyš undLavrentieff über Approximationen mit ganzen Funktionen.

    Google Scholar 

  11. Alice Roth,Approximationseigenschaften und Strahlengrenzwerte meromorpher und ganzer Funktionen, Comment. Math. Helv.,11 (1938), 77–125.

    Article  MathSciNet  Google Scholar 

  12. L. Zalcman,Analytic Capacity and Rational Approximation, Springer-Verlag Berlin, Heidelberg, New York (1968). Enthält insbesondere die Darstellung der Arbeiten vonVitushkin.

    MATH  Google Scholar 

  13. Leon Brown undP. M. Gauthier,The local range set of a meromorphic function. (Noch unveröffentlicht.)

  14. Nersesian, A. A. On the Carleman sets. Izvestija Akad. Nauk Armjan. SSR, Mat.6 (1971), 465–471.

    Google Scholar 

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  1. Morillonstr. 28, CH 3007, Bern

    Alice Roth

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  1. Alice Roth
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Roth, A. Meromorphe Approximationen. Commentarii Mathematici Helvetici 48, 151–176 (1973). https://doi.org/10.1007/BF02566119

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