Bibliography
Buchsbaum, D.: A generalized Koszul complex, I. Trans. Amer. Math. Soc.111, 183–196 (1964).
Carleson, L.: The Corona theorem. Proc. 15th Scand. Congress, Lecture Notes in Mathematics, 118, pp. 121–132, Springer 1970.
Hörmander, L.: Generators for some rings of analytic functions. Bull. Amer. Math. Soc.73, 943–949 (1967).
—— An introduction to complex analysis in several variables. Princeton, New Jersey: D. van Nostrand 1966.
Kelleher, J. J.: Rings of meromorphic functions on non-compact Riemann surfaces. Canad. J. Math.21, 284–300 (1969).
—— Taylor, B. A.: An application of the Corona theorem to some rings of entire functions. Bull. Amer. Math. Soc.73, 246–249 (1967).
-- -- Closed ideals in locally convex algebras of analytic functions, in preparation.
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).
Northcott, D.: Lessons on rings, modules, and multiplicities. London: Cambridge University Press 1968.
Rao, K. V. Rajeswara: On a generalized corona problem. J. d'Analyse Math.18, 277–278 (1967).
Rubel, L., Taylor, B. A.: A Fourier series method for entire and meromorphic functions. Bull. Soc. Math. France96, 53–96 (1968).
Schwartz, L.: Théorie des distributions. Paris: Hermann 1966.
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.
-- A seminorm topology for some (DF)-spaces of entire functions (to appear in Duke J. Math.).
Cnop, I.: A theorem concerning holomorphic functions with bounded growth. Thesis, Vrije Universiteit Brussel, 1970.
Author information
Authors and Affiliations
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02052394