This article is cited in 10 papers

Spectral synthesis on systems of unbounded convex domains

I. F. Krasichkov-Ternovskii


Abstract: The problem of approximating solutions of systems of homogeneous convolution equations and the more general problem of spectral synthesis are considered in the situation where the original convex domains $G_1,\dots,G_q$ are unbounded. Conditions for admissibility of spectral synthesis are formulated in terms of the domains $G_1,\dots,G_q$.
Bibliography: 8 titles.

UDC: 517.53

MSC: 46J15

Received: 07.05.1979

 English version: Mathematics of the USSR-Sbornik, 1981, 39:3, 343–357

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