Finitely generated ideals in rings of analytic functions. (English) Zbl 0207.12906


46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
46E25 Rings and algebras of continuous, differentiable or analytic functions
Full Text: DOI EuDML


[1] Buchsbaum, D.: A generalized Koszul complex, I. Trans. Amer. Math. Soc.111, 183–196 (1964). · Zbl 0131.27801
[2] Carleson, L.: The Corona theorem. Proc. 15th Scand. Congress, Lecture Notes in Mathematics, 118, pp. 121–132, Springer 1970. · Zbl 0195.42104
[3] Hörmander, L.: Generators for some rings of analytic functions. Bull. Amer. Math. Soc.73, 943–949 (1967). · Zbl 0172.41701
[4] —- An introduction to complex analysis in several variables. Princeton, New Jersey: D. van Nostrand 1966. · Zbl 0138.06203
[5] Kelleher, J. J.: Rings of meromorphic functions on non-compact Riemann surfaces. Canad. J. Math.21, 284–300 (1969). · Zbl 0181.36102
[6] —- Taylor, B. A.: An application of the Corona theorem to some rings of entire functions. Bull. Amer. Math. Soc.73, 246–249 (1967). · Zbl 0154.15003
[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).
[9] Northcott, D.: Lessons on rings, modules, and multiplicities. London: Cambridge University Press 1968. · Zbl 0159.33001
[10] Rao, K. V. Rajeswara: On a generalized corona problem. J. d’Analyse Math.18, 277–278 (1967). · Zbl 0176.44103
[11] Rubel, L., Taylor, B. A.: A Fourier series method for entire and meromorphic functions. Bull. Soc. Math. France96, 53–96 (1968). · Zbl 0157.39603
[12] Schwartz, L.: Théorie des distributions. Paris: Hermann 1966.
[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. · Zbl 0181.13304
[14] – A seminorm topology for some (DF)-spaces of entire functions (to appear in Duke J. Math.). · Zbl 0214.37802
[15] Cnop, I.: A theorem concerning holomorphic functions with bounded growth. Thesis, Vrije Universiteit Brussel, 1970. · Zbl 0194.44502
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