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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1973 Volume 90(132), Number 4, Pages 521–543 (Mi sm3065)

This article is cited in 7 papers

On a problem of A. O. Gel'fond

Yu. A. Kaz'min


Abstract: A complete solution is found of the interpolation problem for constructing entire functions $g(z)$ given their values on a geometric progression
$$ g(\beta^n)=b_n,\qquad n=0,1,2,\dots, $$
where $\beta$ is a complex number, $|\beta|>1$.
Bibliography: 12 titles.

UDC: 517.535.4+511

MSC: Primary 30A80, 30A66; Secondary 30A64, 30A86

Received: 27.11.1972


 English version:
Mathematics of the USSR-Sbornik, 1973, 19:4, 509–530

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© Steklov Math. Inst. of RAS, 2026