Abstract:
A general approach is worked out for problems of complex analysis connected with the transition from local properties of analytic functions (of a single variable) to their global properties.
Citation:
I. F. Krasichkov-Ternovskii, “Abstract methods for a local description of closed submodules of analytic functions”, Math. USSR-Sb., 71:2 (1992), 481–497
This publication is cited in the following 8 articles:
N. F. Abuzyarova, Z. Yu. Fazullin, “Invariant subspaces in non-quasianalytic spaces of Ω-ultradifferentiable functions on an interval”, Eurasian Math. J., 15:3 (2024), 9–24
B. N. Khabibullin, E. U. Taipova, “Lower Estimates for Subhramonic Functions and the Harnack Distance”, J Math Sci, 260:6 (2022), 833
T. A. Volkovaya, A. B. Shishkin, “Lokalnoe opisanie tselykh funktsii. Podmoduli ranga 1”, Vladikavk. matem. zhurn., 16:2 (2014), 14–28
B. N. Khabibullin, “Closed Submodules of Holomorphic Functions with Two Generators”, Funct. Anal. Appl., 38:1 (2004), 52–64
N. F. Abuzyarova, “Finitely Generated Submodules in the Module of Entire Functions Determined by Restrictions on the Indicator Function”, Math. Notes, 71:1 (2002), 3–16
I. F. Krasichkov-Ternovskii, “The fundamental principle for invariant subspaces of analytic functions. I”, Sb. Math., 188:2 (1997), 195–226
I. F. Krasichkov-Ternovskii, “Spectral synthesis in a complex domain for a differential operator with constant coefficients. II. The module method”, Russian Acad. Sci. Sb. Math., 75:1 (1993), 1–15