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On Montel's theorem in several variables

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Publication:2794308
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zbMath1349.47007arXiv1310.3378MaRDI QIDQ2794308

Khader Faiez Abu-Helaiel, J. M. Almira Picazo

Publication date: 17 March 2016

Full work available at URL: https://arxiv.org/abs/1310.3378


zbMATH Keywords

functional equationsinvariant subspacesMontel's theorem


Mathematics Subject Classification ID

Functional equations for real functions (39B22) Invariant subspaces of linear operators (47A15) Functional equations for complex functions (39B32) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19)


Related Items (6)

On Popoviciu-Ionescu functional equation ⋮ Montel-type theorems for exponential polynomials ⋮ On polynomial functions on non-commutative groups ⋮ On certain generalizations of the Levi-Civita and Wilson functional equations ⋮ Characterization of polynomials as solutions of certain functional equations ⋮ Characterization of functions whose forward differences are exponential polynomials







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