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Literature cited
H. H. Schaefer, Topological Vector Spaces, Springer-Verlag (1971).
A. F. Leont'ev, “Exponential series of functions with given growth near the boundary,” Izv. Akad. Nauk SSSR, Ser. Mat.,44, No. 6, 1308–1328 (1980).
A. P. Robertson and W. Robertson, Topological Vector Spaces, Cambridge Univ. Press (1973).
R. E. Edwards, Functional Analysis: Theory and Applications, Holt, Rinehardt and Winston, New York-Chicago-San Francisco-Toronto-London (1965).
Zh. Sebasht'yan-i-Silva, “On some classes of locally convex spaces important in applications,” Matematika,1, No. 1, 60–78 (1957).
A. F. Leont'ev, Exponential Series [in Russian], Nauka, Moscow (1976).
B. A. Taylor, “Seminorm topology for some (DF)-spaces of entire functions,” Duke Math. J.,38, No. 2, 379–386 (1971).
Yu. I. Mel'nik, “On the representation of regular functions by Dirichlet series in the closed disk,” Mat. Sb.,97, No. 4, 493–501 (1975).
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Translated from Matematicheskie Zametki, Vol. 32, No. 1, pp. 41–57, July, 1982.
The author expresses his indebtedness to V. V. Napalkov, who supervised this work.
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Yulmukhametov, R.S. Space of analytic functions with prescribed growth near the boundary. Mathematical Notes of the Academy of Sciences of the USSR 32, 499–508 (1982). https://doi.org/10.1007/BF01137223
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DOI: https://doi.org/10.1007/BF01137223