This article is cited in 5 papers

Spectral synthesis in a complex domain for a differential operator with constant coefficients. III: Ample submodules

I. F. Krasichkov-Ternovskii


Abstract: In [1] and [2] the problem of spectral synthesis for a subspace $W$ invariant under a differential operator with constant coefficients was reduced to a check of two properties of its annihilator submodule $I=\operatorname{An}W$: stability and saturation. The present article describes a situation in which this check leads to a positive result, i.e., the annihilator submodule $I$ is ample.

UDC: 517.5

MSC: Primary 43A45; Secondary 34L99

Received: 03.12.1991

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1993, 76:1, 165–188

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