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Multi-dimensional analytic structure in the spectrum of a uniform algebra

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

Keywords

  • Stein Manifold
  • Dual Norm
  • Uniform Algebra
  • Analytic Disc
  • Maximal Ideal Space

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References

  1. BASENER, R. F. A generalized Shilov boundary and analytic structure. Proc. Amer. Math. Soc. 47 (1975), 98–104.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. BISHOP, E. Holomorphic completions, analytic continuation, and the interpolation of semi-norms. Ann. Math. 78 (1963), 468–500.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. CARTAN, H. Calcul différentiel, Paris, Hermann (1967).

    MATH  Google Scholar 

  4. FEDERER, H. Some integral geometric theorems. Trans. Amer. Math. Soc. 77 (1954), 238–261

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. GLEASON, A. M. The abstract theorem of Cauchy-Weil. Pacific J. Math. 12 (1962), 511–525.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. GUNNING, R. C. and ROSSI, H. Analytic functions of several complex variables. Prentice Hall, Englewood Cliffs, N. J. (1965).

    MATH  Google Scholar 

  7. GRAUERT, H. and REMMERT, K. Komplexe Räume. Math. Ann. 136 (1958), 245–318.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. ROSSI, H. Holomorphically convex sets in several complex variables. Ann. Math. 74, (1961), 470–493.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. SHIFFMANN, B. On the removal of singularities of analytic sets. Michigan Math. J. 15 (1968), 110–120.

    MathSciNet  Google Scholar 

  10. STOLZENBERG, G. Volume, limits and extensions of analytic varieties. Lecture Notes in Math. 19, Berlin, Springer-Verlag (1966).

    CrossRef  MATH  Google Scholar 

  11. STOUT, E. L. The theory of uniform algebras. Bogden Quigley, N. Y. (1971).

    MATH  Google Scholar 

  12. WERMER, J. Banach algebras and several complex variables. Markham, Chicago (1971)

    MATH  Google Scholar 

  13. WERMER, J. An example concerning polynomial convexity. Math. Ann. 139 (1959), 147–150.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1976 Springer-Verlag

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Sibony, N. (1976). Multi-dimensional analytic structure in the spectrum of a uniform algebra. 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/BFb0080031

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  • DOI: https://doi.org/10.1007/BFb0080031

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07682-7

  • Online ISBN: 978-3-540-38201-0

  • eBook Packages: Springer Book Archive