Geodesic
Spectral Synthesis for the Differentiation Operator in the Schwartz Space
Matematičeskie zametki, Tome 102 (2017) no. 2, pp. 163-177

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We consider the spectral synthesis problem for the differentiation operator on the space of infinitely differentiable functions on a finite or infinite interval of the real line and the dual problem of local description of closed submodules in a special module of entire functions.
Keywords: invariant subspace, weak spectral synthesis, exponential monomial, local description of submodules.
Mots-clés : Fourier–Laplace transform 
@article{MZM_2017_102_2_a0,
     author = {N. F. Abuzyarova},
     title = {Spectral {Synthesis} for the {Differentiation} {Operator} in the {Schwartz} {Space}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {163--177},
     publisher = {mathdoc},
     volume = {102},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_2_a0/}
}
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N. F. Abuzyarova. Spectral Synthesis for the Differentiation Operator in the Schwartz Space. Matematičeskie zametki, Tome 102 (2017) no. 2, pp. 163-177. http://geodesic.mathdoc.fr/item/MZM_2017_102_2_a0/