Density of polynomial elements in invariant subspaces of entire functions of exponential type

DOI10.1023/B:MATN.0000023317.50105.73zbMath1058.32002OpenAlexW2090518026MaRDI QIDQ1889618

V. M. Trutnev

Publication date: 6 December 2004

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:matn.0000023317.50105.73

zbMATH Keywords

entire function of exponential typeholomorphic functionspectral synthesisannihilator idealexponential polynomialsprimary idealNoetherian ringRunge domaintranslation invariant subspacescharacteristic analytic setLaplace transform of functional

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Invariant subspaces of linear operators (47A15) Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Entire functions of several complex variables (32A15)

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