This article is cited in 16 papers

The multipoint de la Vallée-Poussin problem for a convolution operator

V. V. Napalkov^a, A. A. Nuyatov<sup>b

a</sup> Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
^b N. I. Lobachevski State University of Nizhni Novgorod

Abstract: Conditions are discovered which ensure that the space of entire functions can be represented as the sum of an ideal in the space of entire functions and the kernel of a convolution operator. In this way conditions for the multipoint de la Vallée-Poussin problem to have a solution are found.
Bibliography: 14 titles.

Keywords: convolution operator, Fischer pairs, multipoint de la Vallée-Poussin problem.

UDC: 517.98

MSC: Primary 30E05; Secondary 44A35

Received: 28.06.2010 and 28.01.2011

DOI: 10.4213/sm7763

 English version: Sbornik: Mathematics, 2012, 203:2, 224–233

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