Literature Cited
G. Köthe, “Quality in Function Theory,” J. reine angew. Math.,191, 29–49 (1953).
Yu. A. Kaz'min, On Sequences of Hermite and Laguerre Polynomials, Vestn. Moscow Univ., Math., mech., No. 2, 3–9 (1960).
V. V. Ryndina, On the Completeness in Regions of the Complex Plane of Systems of Analytic Functions that Satisfy Second-Order Differential Equations, Author's abstract of candidate's dissertation, [In Russian] Rostov-on-the-Don (1962).
K. M. Fishman, On the Equivalence of Certain Operators on an Analytic Space, Math. collection,68, No. 1, 63–74 (1965).
K. M. Fishman, On Linear Transformations of Analytic Spaces, Dokl. Akad. Nauk SSSR,127, No. 1, 40–43 (1959).
S. S. Banach, A Course in Functional Analysis, [Russian translation], Rad. shkola, Kiev (1948).
A. I. Markushevich, On Bases in a Space of Analytic Functions, Math. Coll.17, No. 2, 211–252 (1945).
R. Nevanlinna, “Properties of Analytic Functions in the Neighborhood of a Singular Point or Line.” [in German] (Acta Soc. Scient. Fennical, 50, No. 5) (1922).
A. I. Markushevich, Theory of Analytic Functions, [in Russian], Gostekhizdat, Moscow-Leningrad (1950).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 8, No. 1, pp. 11–18, January–February, 1967.
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Nagnibida, N.I. Completeness of subsequences of Hermite polynomials. Sib Math J 8, 7–12 (1967). https://doi.org/10.1007/BF01040568
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DOI: https://doi.org/10.1007/BF01040568