Sampling sets for the space of holomorphic functions of polynomial growth in a ball

DOI10.13108/2015-7-4-3zbMath1463.32009OpenAlexW4242045528MaRDI QIDQ5137101

Alexander V. Abanin

Publication date: 1 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa297

zbMATH Keywords

sampling setsweakly sufficient setsspace of holomorphic functions of polynomial growth

Mathematics Subject Classification ID

Topology of analytic spaces (32C18) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Algebras of holomorphic functions of several complex variables (32A38)

Related Items (3)

Effective and sampling sets for Hörmander spaces ⋮ Sharp bounds for asymptotic characteristics of growth of entire functions with zeros on given sets ⋮ Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball

Cites Work

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• Certain criteria for weak sufficiency
• Zeros of functions in the Bergman spaces
• Weakly sufficient sets for \(A^{-\infty}(\mathbb D)\)
• Sampling sequences for \(A^{-\infty}\)
• Sampling sets and sufficient sets for \(A^{-\infty}\)
• Continuation of holomorphic functions with growth conditions and some of its applications
• SETS OF UNIQUENESS, WEAKLY SUFFICIENT SETS AND SAMPLING SETS FOR A-∞(B)
• On Absolutely Convergent Exponential Sums
• A Projective Description of Weighted Inductive Limits
• INDUCTIVE AND PROJECTIVE TOPOLOGIES. SUFFICIENT SETS AND REPRESENTING SYSTEMS
• Sufficient Sets for Some Spaces of Entire Functions

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