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Literature cited
V. V. Napalkov, “Subspaces of entire functions of exponential type, invariant with respect to translation,” Sib. Mat. Zh.,14, No. 2, 427–436 (1973).
D. G. Dickson, “Convolution equations and harmonic analysis in spaces of entire functions,” Trans. Am. Math. Soc.,184, No. 2, 373–385 (1973).
R. Edwards, Functional Analysis [Russian translation], Mir, Moscow (1969).
R. Gunning and H. Rossi, Analytic Functions of Several Complex Variables [Russian translation], Mir, Moscow (1969).
I. F. Krasichkov, “Closed ideals in locally convex algebras of entire functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,31, No. 1, 37–60 (1967).
H. Cartan, “Idéaux et modules de fonctions analytiques de variables complexes,” Bull. Soc. Math. France,78, 28–64 (1950).
I. F. Krasichkov-Ternovskii, ”Invariant subspaces of analytic functions,” Mat. Sb.,87, No. 4, 459–489 (1972).
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Translated from Matematicheskie Zametki, Vol. 30, No. 4, pp. 527–534, October, 1981.
The author thanks V. V. Napalkov, under whose direction this work was done.
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Filippov, V.N. Spectral synthesis in certain spaces of entire functions of exponential type. Mathematical Notes of the Academy of Sciences of the USSR 30, 756–760 (1981). https://doi.org/10.1007/BF01137803
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DOI: https://doi.org/10.1007/BF01137803