Abstract:
Subspaces of analytic functions of one complex variable that are invariant with respect to systems of differential operators with constant coefficients are considered.
Situations where such invariant subspaces admit spectral synthesis are described.
\Bibitem{Shi03}
\by A.~B.~Shishkin
\paper Spectral synthesis for systems of differential operators with
constant coefficients
\jour Sb. Math.
\yr 2003
\vol 194
\issue 12
\pages 1865--1898
\mathnet{http://mi.mathnet.ru/eng/sm789}
\crossref{https://doi.org/10.1070/SM2003v194n12ABEH000789}
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Linking options:
https://www.mathnet.ru/eng/sm789
https://doi.org/10.1070/SM2003v194n12ABEH000789
https://www.mathnet.ru/eng/sm/v194/i12/p123
This publication is cited in the following 5 articles:
A. B. Shishkin, “On continuous endomorphisms of entire functions”, Sb. Math., 212:4 (2021), 567–591
A. B. Shishkin, “Odnostoronnie skhemy dvoistvennosti”, Vladikavk. matem. zhurn., 22:3 (2020), 124–150
A. B. Shishkin, “Symmetric representations of holomorphic functions”, Probl. anal. Issues Anal., 7(25), spetsvypusk (2018), 124–136
A. B. Shishkin, “Exponential synthesis in the kernel of a symmetric convolution”, J. Math. Sci. (N. Y.), 229:5 (2018), 572–599
A. B. Shishkin, “Proektivnoe i in'ektivnoe opisaniya v kompleksnoi oblasti. Dvoistvennost”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 14:1 (2014), 47–65
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