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

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

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 Vallee-Poussin problem to have a solution are found. Bibliogr...

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Veröffentlicht in:Sbornik. Mathematics 2012-02, Vol.203 (2)
Hauptverfasser: Napalkov, Valentin V, Nuyatov, Andrey A
Format: Artikel
Sprache:eng
Schlagworte:
FUNCTIONS
MATHEMATICAL LOGIC
MATHEMATICAL METHODS AND COMPUTING
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
SPACE
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Zusammenfassung: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 Vallee-Poussin problem to have a solution are found. Bibliography: 14 titles.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM2012V203N02ABEH004220;COUNTRYOFINPUT:INTERNATIONALATOMICENERGYAGENCY(IAEA)