This article is cited in 5 papers

Spectral synthesis in a complex domain for a differential operator with constant coefficients. II. The module method

I. F. Krasichkov-Ternovskii


Abstract: The problem of spectral synthesis for a subspace $W$ invariant with respect to a differential operator with constant coefficients was reduced earlier to verification that its annihilator submodule $I=\operatorname{An}W$ is ample. In the present article the property of ampleness is split into two parts – stability, and the property of being saturated. The latter properties are subjected to a systematic investigation.

MSC: Primary 43A45; Secondary 34L99

Received: 03.06.1991

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1993, 75:1, 1–15

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