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Literature cited
D. I. Gurevich, “Generalized bases in some rings of holomorphic functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,36, 568–582 (1972).
L. I. Ronkin, Introduction in the Theory of Entire Functions of Several Variables [in Russian], Nauka, Moscow (1971).
H. H. Schaefer, Topological Vector Spaces, Macmillan, New York (1966).
L. Hörmander, “Generators for some rings of analytic functions,” Bull. Am. Math. Soc.,73, No. 6, 943–949 (1967).
J. J. Kelleher and B. A. Taylor, “Finitely generated ideals in rings of analytic functions,” Math. Ann.,193, No. 3, 225–237 (1971).
J. J. Kelleher and B. A. Taylor, “Closed ideals in locally convex algebras of analytic functions,” J. Reine Angew. Math.,255, 190–209 (1972).
B. A. Taylor, “On weighted polynomial approximation of entire functions,” Pac. J. Math.,36, No. 2, 523–539 (1971).
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Translated from Zapiski Nauchnykh Seminarov Leningradeskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 47, pp. 55–66, 1974.
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Gurevich, D.I. Closed ideals with the zero-dimensional root set in certain rings of holomorphic functions. J Math Sci 9, 172–182 (1978). https://doi.org/10.1007/BF01578541
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DOI: https://doi.org/10.1007/BF01578541