Abstract
This paper is devoted to the problem of representing entire functions, in spaces described by the order and the type of these functions, by Lagrange series that converge in the natural topology in these spaces; this topology is stronger than the topology of compact convergence.
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References
I. I. Ibragimov,Function Interpolation Methods and Some Applications [in Russian], Nauka, Moscow (1971).
A. F. Leont'ev,Exponential Series [in Russian], Nauka, Moscow (1976).
Yu. N. Frolov, “On approximation to solutions of infinite-order equations in generalized derivatives by elementary solutions,” in:Investigations in Function Approximation Theory [in Russian], Ufa (1979), pp. 268–281.
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Translated fromMatematicheskie Zametki, Vol. 61, No. 1, pp. 119–124, January, 1997.
Translated by M. A. Shishkova
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Frolov, Y.N. Expansion of entire functions into Lagrange series. Math Notes 61, 100–104 (1997). https://doi.org/10.1007/BF02355011
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DOI: https://doi.org/10.1007/BF02355011