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Approximation by polynomials in two complex variables

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References

  1. Federer, H.: Geometric measure theory. Berlin, Heidelberg, New York: Springer 1969

    Google Scholar 

  2. Freeman, M.: The uniform algebra generated byz anda smooth even function. Math. Ann.196, 269–274 (1972)

    Google Scholar 

  3. Gamelin, T.W.: Uniform algebras. Englewood Cliffs: Prentice-Hall 1969

    Google Scholar 

  4. Hörmander, L., Wermer, J.: Uniform approximation on compact sets inC n. Math. Scand.23, 5–21 (1968)

    Google Scholar 

  5. Mergelyan, S.N.: Uniform approximations to functions of a complex variable. Amer. Math. Soc. Transl.1, 294–391 (1962)

    Google Scholar 

  6. Nirenberg, R., Wells, R.O., Jr.: Holomorphic approximation on real submanifolds of a complex manifold. Bull. Amer. Math. Soc.73, 378–381 (1967)

    Google Scholar 

  7. Nierenberg, R., Wells, R.O., Jr.: Approximation theorems on differentiable submanifolds of a complex manifold. Trans. Amer. Math. Soc.142, 15–35 (1969)

    Google Scholar 

  8. O'Farrell, A.G.: A generalised Walsh-Lebesgue theorem. Proceedings Roy. Soc. Edinburgh73, 231–234 (1974/75)

    Google Scholar 

  9. O'Farrell, A.G.: Annihilators of rational modules. J. Functional Analysis19, 373–389 (1975)

    Google Scholar 

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

    Google Scholar 

  11. Preskenis, K.J.: Another view of the Weierstrass theorem. Proc. Amer. Math. Soc.54, 109–113 (1976)

    Google Scholar 

  12. Preskenis, K.J.: Approximation by polynomials inz and another function. Proc. Amer. Math. Soc.68, 69–74 (1978)

    Google Scholar 

  13. Range, R.M., Siu, Y.-T.:C k approximation by holomorphic functions and\(\bar \partial\)-closed forms onC k submanifolds of a complex manifolds. Math. Ann.210, 105–122 (1974)

    Google Scholar 

  14. Wermer, J.: Approximation on a disc. Math. Ann.155, 331–333 (1964)

    Google Scholar 

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

    Google Scholar 

  16. Wermer, J.: Banach algebras and several complex variables. Markham 1971

Download references

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Authors and Affiliations

  1. Department of Mathematics, Maynooth College, Co. Kildare, Ireland

    Anthony G. O'Farrell

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

    Kenneth J. Preskenis

Authors
  1. Anthony G. O'Farrell
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  2. Kenneth J. Preskenis
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O'Farrell, A.G., Preskenis, K.J. Approximation by polynomials in two complex variables. Math. Ann. 246, 225–232 (1980). https://doi.org/10.1007/BF01371043

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