Abstract:
Let G be a region in the complex plane; let H be the space of functions analytic in G with the topology of uniform convergence on compacta of G; let W be a nontrivial invariant (with respect to differentiation) subspace in H which admits a spectral synthesis. We investigate conditions for which all functions of W can be analytically continued to a larger region G′⊃G.
This publication is cited in the following 18 articles:
A. S. Krivosheev, O. A. Krivosheeva, “Invariant Spaces of Entire Functions”, Math. Notes, 109:3 (2021), 413–426
N. F. Abuzyarova, “Representation of synthesizable differentiation-invariant subspaces of the Schwartz space”, Dokl. Math., 103:3 (2021), 99–102
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A. S. Krivosheev, “Invariantnye podprostranstva v vypuklykh oblastyakh iz Cn”, Ufimsk. matem. zhurn., 1:3 (2009), 65–86
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