Geodesic
Invariant subspaces in certain function spaces on $n$-dimensional Lobachevsky space
Sbornik. Mathematics, Tome 65 (1990) no. 2, pp. 439-464
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Let $M$ be $n$-dimensional Lobachevsky space, $G$ the connected component of the identity in the group of isometries of $M$. In certain topological vector spaces of functions on $M$ the author obtains a complete description of the closed subspaces invariant under the transformations $f(x)\to f(gx)$, $z\in M$, $g\in G$. Bibliography: 14 titles. 
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     title = {Invariant subspaces in certain function spaces on $n$-dimensional {Lobachevsky} space},
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S. S. Platonov. Invariant subspaces in certain function spaces on $n$-dimensional Lobachevsky space. Sbornik. Mathematics, Tome 65 (1990) no. 2, pp. 439-464. http://geodesic.mathdoc.fr/item/SM_1990_65_2_a8/

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