Skip to main content
Log in

Finitely generated ideals in rings of analytic functions

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Bibliography

  1. Buchsbaum, D.: A generalized Koszul complex, I. Trans. Amer. Math. Soc.111, 183–196 (1964).

    Google Scholar 

  2. Carleson, L.: The Corona theorem. Proc. 15th Scand. Congress, Lecture Notes in Mathematics, 118, pp. 121–132, Springer 1970.

  3. Hörmander, L.: Generators for some rings of analytic functions. Bull. Amer. Math. Soc.73, 943–949 (1967).

    Google Scholar 

  4. —— An introduction to complex analysis in several variables. Princeton, New Jersey: D. van Nostrand 1966.

    Google Scholar 

  5. Kelleher, J. J.: Rings of meromorphic functions on non-compact Riemann surfaces. Canad. J. Math.21, 284–300 (1969).

    Google Scholar 

  6. —— Taylor, B. A.: An application of the Corona theorem to some rings of entire functions. Bull. Amer. Math. Soc.73, 246–249 (1967).

    Google Scholar 

  7. -- -- Closed ideals in locally convex algebras of analytic functions, in preparation.

  8. Leontev, A. F.: On entire functions of exponential type assuming given values at given points. Isv. Akad. Nauk. SSSR, Ser. Mat.13, 33–34 (1949), (Russian) MR10, 602 (1949).

    Google Scholar 

  9. Northcott, D.: Lessons on rings, modules, and multiplicities. London: Cambridge University Press 1968.

    Google Scholar 

  10. Rao, K. V. Rajeswara: On a generalized corona problem. J. d'Analyse Math.18, 277–278 (1967).

    Google Scholar 

  11. Rubel, L., Taylor, B. A.: A Fourier series method for entire and meromorphic functions. Bull. Soc. Math. France96, 53–96 (1968).

    Google Scholar 

  12. Schwartz, L.: Théorie des distributions. Paris: Hermann 1966.

    Google Scholar 

  13. Taylor, B. A.: Some locally convex spaces of entire functions. Proc. Symp. Pure Math., vol. 11, Entire functions and related parts of analysis. Amer. Math. Soc., 1968.

  14. -- A seminorm topology for some (DF)-spaces of entire functions (to appear in Duke J. Math.).

  15. Cnop, I.: A theorem concerning holomorphic functions with bounded growth. Thesis, Vrije Universiteit Brussel, 1970.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kelleher, J.J., Taylor, B.A. Finitely generated ideals in rings of analytic functions. Math. Ann. 193, 225–237 (1971). https://doi.org/10.1007/BF02052394

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02052394

Keywords

Navigation