This article is cited in 19 papers

Spectral synthesis of analytic functions on systems of convex domains

I. F. Krasichkov-Ternovskii


Abstract: In a complex domain the problem of approximating solutions of systems of homogeneous convolution equations by linear combinations of elementary solutions is considered. This problem can be solved in the framework of the general problem of spectral synthesis with the use of the technique of submodules, developed in earlier papers of the author.
Bibliography: 14 titles.

UDC: 517.53

MSC: 47A50, 30E10, 30H05

Received: 07.05.1979

 English version: Mathematics of the USSR-Sbornik, 1981, 39:1, 1–35

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