Abstract:
A description is given of situations in which a subspace invariant with respect to a differential operator with constant coefficients admits spectral synthesis.
Citation:
I. F. Krasichkov-Ternovskii, “Spectral synthesis in a complex domain for a differential operator with constant coefficients. IV: Synthesis”, Russian Acad. Sci. Sb. Math., 76:2 (1993), 407–426
This publication is cited in the following 10 articles:
A. A. Tatarkin, A. B. Shishkin, “Exponential Synthesis in the Kernel of a q-Sided Convolution Operator”, J Math Sci, 282:4 (2024), 581
A. A. Tatarkin, A. B. Shishkin, “Eksponentsialnyi sintez v yadre operatora q-storonnei svertki”, Issledovaniya po lineinym operatoram i teorii funktsii. 50, Zap. nauchn. sem. POMI, 512, POMI, SPb., 2022, 191–222
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
A. B. Shishkin, “On continuous endomorphisms of entire functions”, Sb. Math., 212:4 (2021), 567–591
A. B. Shishkin, “Spectral synthesis for systems of differential operators with
constant coefficients”, Sb. Math., 194:12 (2003), 1865–1898
I. F. Krasichkov-Ternovskii, A. B. Shishkin, “Local description of closed submodules of a special module of entire functions of exponential type”, Sb. Math., 192:11 (2001), 1621–1638
I. F. Krasichkov-Ternovskii, “Spectral synthesis and local description for several variables”, Izv. Math., 63:4 (1999), 729–755
Citation in format AMSBIB
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