Geodesic
Representation of synthesizable differentiation-invariant subspaces of the Schwartz space
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 498 (2021), pp. 5-9.

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We consider a differentiation-invariant subspace $W$ in the Schwartz space $C^\infty(a;b)$ which admits weak spectral synthesis. We obtain the conditions under which W can be represented as the direct (algebraic and topological) sum of its residual subspace and the closed subspace spanned by the set of exponential monomials contained in $W$.
Keywords: spectral synthesis, invariant subspaces, slowly decreasing function, Beurling–Malliavin density. 
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N. F. Abuzyarova. Representation of synthesizable differentiation-invariant subspaces of the Schwartz space. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 498 (2021), pp. 5-9. http://geodesic.mathdoc.fr/item/DANMA_2021_498_a0/

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