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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2005 Volume 196, Number 12, Pages 85–98 (Mi sm1443)

This article is cited in 1 paper

Absolute completeness of systems of exponentials on convex compact sets

I. F. Krasichkov-Ternovskiia, G. N. Shilovab

a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b Vologda State Pedagogical University

Abstract: Approximation using linear combinations of exponentials with special constraints on the coefficients is investigated. A sufficient condition for such approximation is stated in simple geometric terms.

UDC: 517.53

MSC: 46E15, 30E10

Received: 01.11.2004 and 23.05.2005

DOI: 10.4213/sm1443


 English version:
Sbornik: Mathematics, 2005, 196:12, 1801–1814

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© Steklov Math. Inst. of RAS, 2026