Abstract:
The problem of spectral synthesis for subspaces of analytic functions invariant under the operators of partial differentiation is reduced to the problem of the local description of closed submodules in the module of entire functions of exponential type over the ring of polynomials.
\Bibitem{Kra99}
\by I.~F.~Krasichkov-Ternovskii
\paper Spectral synthesis and local description for several variables
\jour Izv. Math.
\yr 1999
\vol 63
\issue 4
\pages 729--755
\mathnet{http://mi.mathnet.ru/eng/im256}
\crossref{https://doi.org/10.1070/im1999v063n04ABEH000256}
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Linking options:
https://www.mathnet.ru/eng/im256
https://doi.org/10.1070/im1999v063n04ABEH000256
https://www.mathnet.ru/eng/im/v63/i4/p101
This publication is cited in the following 4 articles:
Yu. S. Saranchuk, A. B. Shishkin, “General elementary solution of a homogeneous q-sided convolution type equation”, St. Petersburg Math. J., 34:4 (2023), 695–713
Citation in format AMSBIB
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