A criterion for analytic continuation of functions from invariant subspaces in convex domains of the complex plane
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Publication:4674626
DOI10.1070/IM2004v068n01ABEH000466zbMath1069.30002OpenAlexW2030614082MaRDI QIDQ4674626
Publication date: 17 May 2005
Published in: Izvestiya: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/im2004v068n01abeh000466
Invariant subspaces of linear operators (47A15) Laplace transform (44A10) Banach spaces of continuous, differentiable or analytic functions (46E15) Analytic continuation of functions of one complex variable (30B40)
Related Items (8)
Representation of functions in an invariant subspace with almost real spectrum ⋮ Invariant Subspaces in Unbounded Domains ⋮ Representation of analytic functions in bounded convex domains on the complex plane ⋮ Sharp bounds for asymptotic characteristics of growth of entire functions with zeros on given sets ⋮ Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains ⋮ Criterion of analytic continuability of functions in principal invariant subspaces on convex domains in $\mathbb{C}^{n}$ ⋮ Invariant spaces of entire functions ⋮ Asymptotic properties of entire functions with given laws of distribution of zeros
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