Spectral synthesis in a~complex domain for a~differential operator with constant coefficients. III: Ample submodules
Sbornik. Mathematics, Tome 76 (1993) no. 1, pp. 165-188

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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.
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     author = {I. F. Krasichkov-Ternovskii},
     title = {Spectral synthesis in a~complex domain for a~differential operator with constant coefficients. {III:} {Ample} submodules},
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I. F. Krasichkov-Ternovskii. Spectral synthesis in a~complex domain for a~differential operator with constant coefficients. III: Ample submodules. Sbornik. Mathematics, Tome 76 (1993) no. 1, pp. 165-188. http://geodesic.mathdoc.fr/item/SM_1993_76_1_a8/