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Matematicheskie Zametki, 2017, Volume 102, Issue 2, Pages 163–177
DOI: https://doi.org/10.4213/mzm11218 (Mi mzm11218) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Spectral Synthesis for the Differentiation Operator in the Schwartz Space

N. F. Abuzyarova

Bashkir State University, Ufa
Full-text PDF (552 kB) Citations (15)
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DOI: https://doi.org/10.4213/mzm11218
Abstract: 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, Fourier–Laplace transform, local description of submodules.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 01201456408
This work was supported by the Ministry of Education and Science of the Russian Federation (grant no. 01201456408).
Received: 03.05.2016
English version:
Mathematical Notes, 2017, Volume 102, Issue 2, Pages 137–148
DOI: https://doi.org/10.1134/S0001434617070161
Bibliographic databases:
Document Type: Article
UDC: 517.538.2+517.984.26+517.518.83+517.547.2
Language: Russian
Citation: N. F. Abuzyarova, “Spectral Synthesis for the Differentiation Operator in the Schwartz Space”, Mat. Zametki, 102:2 (2017), 163–177; Math. Notes, 102:2 (2017), 137–148
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
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