Expansion of entire functions into Lagrange series

Yu. N. Frolov

Moscow Power Engineering Institute (Technical University)

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.

UDC: 517

Received: 29.01.1996

DOI: 10.4213/mzm1486

 English version: Mathematical Notes, 1997, 61:1, 100–104

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