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Uniform approximation by polynomials in two functions

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References

  1. Bedford, E.: Levi flat hypersurfaces in C2 with prescribed boundary: stability. Ann. Sc. Norm. Super. Pisa IV Ser.9, 529–570 (1981)

    Google Scholar 

  2. Bedford, E., Gaveau, B.: Envelops of holomorphy of certain 2-spheres in C2. Am. J. Math.105, 975–1009 (1983)

    Google Scholar 

  3. Gamelin, T.W.: Uniform algebras. Englewood Cliffs: Prentice-Hall 1969 (now available from Chelsea)

    Google Scholar 

  4. Kenig, C., Webster, S.: The local hull of holomorphy of a surface in the space of two complex variables. Invent. Math.67, 1–21 (1982)

    Google Scholar 

  5. Moser, J., Webster, S.: Normal forms for real surfaces in C2 near complex tangents and hyperbolic surface transformations. Acta Math.150, 255–296 (1983)

    Google Scholar 

  6. O'Farrell, A.G.: A generalised Walsh-Lebesgue theorem. Proc. Roy. Soc. Edinb.73A, 231–234 (1974/75)

    Google Scholar 

  7. O'Farrell, A.G., Preskenis, K.J.: Approximation by polynomials in two diffeomorphisms. Bull. Am. Math. Soc.10, 105–107 (1984)

    Google Scholar 

  8. Preskenis, K.J.: Approximation on discs. Trans. Am. Math. Soc.171, 445–467 (1972)

    Google Scholar 

  9. Stout, E.L.: Polynomially convex neighborhoods of hyperbolic points, preprint. Also, Abstracts Am. Math. Soc.7, 174 (1986)

    Google Scholar 

  10. Wermer, J.: Polynomially-convex discs. Math. Ann.158, 6–10 (1965)

    Google Scholar 

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Authors and Affiliations

  1. Maynooth College, Co.Kildare, Ireland

    A. G. O'Farrell

  2. Department of Mathematics, Framingham State College, 01701, Framingham, MA, USA

    K. J. Preskenis

Authors
  1. A. G. O'Farrell
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  2. K. J. Preskenis
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O'Farrell, A.G., Preskenis, K.J. Uniform approximation by polynomials in two functions. Math. Ann. 284, 529–535 (1989). https://doi.org/10.1007/BF01443349

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