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Polynomial Hulls and linear measure

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Complex Analysis II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1276))

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References

  1. H. Alexander, Polynomial approximation and hulls in sets of finite linear measure in ℂn, Amer. J. Math 93 (1971), 65–74.

    Article  MathSciNet  Google Scholar 

  2. —, The polynomial hull of a set of finite linear measure in ℂn, to appear in J. d’Analyse Math.

    Google Scholar 

  3. —, The polynomial hull of a rectifiable curve in ℂn, to appear in Amer. J. Math.

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  4. A. Beurling, Sur les fonctions limites quasi analytiques des fractions rationnelles, VIII Congres des Mathematicians Scandinaves, Stockholm, 1934, 199–210.

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  5. E. Bishop, Analyticity in certain function algebras, Trans. Amer. Math. Soc. 102 (1962), 507–544.

    MathSciNet  MATH  Google Scholar 

  6. H. Federer, Geometric measure theory, Springer Verlag, New York, 1969.

    MATH  Google Scholar 

  7. J. Globevnik and E.L. Stout, Boundary regularity for holomorphic maps from the disc to the ball, preprint.

    Google Scholar 

  8. R. Harvey and B. Lawson, On boundaries of complex analytic varieties, Ann. Math. 102 (1975), 233–290.

    Article  MathSciNet  MATH  Google Scholar 

  9. N. Sibony, Quelques problemes de prolongement de courants en analyse complexe, Duke Math. J. 52 (1985) 157–197.

    Article  MathSciNet  MATH  Google Scholar 

  10. G. Stolzenberg, Uniform approximation on smooth curves, Acta Math. 115 (1966) 185–198.

    Article  MathSciNet  MATH  Google Scholar 

  11. J. Wermer, The hull of a curve in ℂn, Ann. Math. 62 (1958), 550–561.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois at Chicago, 60680, Chicago, Illinois

    H. Alexander

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  1. H. Alexander
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Carlos A. Berenstein

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© 1987 Springer-Verlag

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Alexander, H. (1987). Polynomial Hulls and linear measure. In: Berenstein, C.A. (eds) Complex Analysis II. Lecture Notes in Mathematics, vol 1276. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078949

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  • DOI: https://doi.org/10.1007/BFb0078949

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18357-0

  • Online ISBN: 978-3-540-47904-8

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