Geodesic
A property of subspaces admitting spectral synthesis
Sbornik. Mathematics, Tome 190 (1999) no. 4, pp. 481-499 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $H$ be the space of holomorphic functions in a convex domain $G\subset\mathbb C$. The following result is established: each closed subspace $W\subset H$ that is invariant with respect to the operator of differentiation and admits spectral synthesis can be represented as the solution set of two (possibly coinciding) homogeneous convolution equations. 
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N. F. Abuzyarova. A property of subspaces admitting spectral synthesis. Sbornik. Mathematics, Tome 190 (1999) no. 4, pp. 481-499. http://geodesic.mathdoc.fr/item/SM_1999_190_4_a0/

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