Geodesic
Invariant subspaces of the space $C^\infty$
Sbornik. Mathematics, Tome 47 (1984) no. 1, pp. 1-26 
N. G. Makarov. Invariant subspaces of the space $C^\infty$. Sbornik. Mathematics, Tome 47 (1984) no. 1, pp. 1-26. http://geodesic.mathdoc.fr/item/SM_1984_47_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $C^\infty$ be the space of infinitely differentiable functions on the unit circle $\mathbf T$. The operator $z$ of multiplication by the independent variable acts in this space: $f\mapsto zf$. This article deals with a description of the invariant subspaces of the operator $z$. Bibliography: 11 titles.

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