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Hartogs series, Hartogs functions and Jensen measures

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Spaces of Analytic Functions

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 512))

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Bibliography

  1. H. Bremermann, On a generalized Dirichlet problem for plurisubharmonic functions. Characterization of Šilov boundaries, Trans. A.M.S 91 (1959), 246–276.

    MathSciNet  MATH  Google Scholar 

  2. H. Bremermann, On the conjecture of the equivalence of the plurisubharmonic functions and the Hartogs functions, Math. Ann. 131 (1956), 76–86.

    Article  MathSciNet  MATH  Google Scholar 

  3. D. A. Edwards, Choquet theory for certain spaces of lower semicontinuous functions, in Function Algebras, F. Birtel (ed.), Scott, Foresman and Co., 1965, 300–309.

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  4. T. W. Gamelin, Uniform algebras spanned by Hartogs series to appear.

    Google Scholar 

  5. T. W. Gamelin, The polynomial hulls of certain subsets of C2, to appear.

    Google Scholar 

  6. F. Hartogs, Zur Theorie der analytischen Funktionen mehrer unabhängiger Veränderlichen, insbesondere über die Darstellung derselben durch Reihen, welche nach Potenzen einer Veränderlichen fortschreiten, Math. Ann. 62 (1906), 1–88.

    Article  MathSciNet  MATH  Google Scholar 

  7. N. Sibony, Prolongement analytique des fonctions holomorphes bornées, C. R. Acad. Sci. Paris 275 (1972), 973–976.

    MathSciNet  MATH  Google Scholar 

  8. N. Sibony, Un exemple de compact polynomialement convexe dans C2, Bull. Soc. Math. France 103 (1975).

    Google Scholar 

  9. V. S. Vladimirov, Methods of the Theory of Functions of Several Complex Variables, M.I.T. Press, Cambridge, Mass., 1966.

    Google Scholar 

  10. J. Wermer, Subharmonicity and hulls, Pac. J. Math., to appear.

    Google Scholar 

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Authors

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Otto B. Bekken Bernt K. Øksendal Arne Stray

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© 1976 Springer-Verlag

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Gamelin, T.W. (1976). Hartogs series, Hartogs functions and Jensen measures. In: Bekken, O.B., Øksendal, B.K., Stray, A. (eds) Spaces of Analytic Functions. Lecture Notes in Mathematics, vol 512. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080025

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  • DOI: https://doi.org/10.1007/BFb0080025

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07682-7

  • Online ISBN: 978-3-540-38201-0

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