Certain criteria for weak sufficiency

DOI10.1007/BF01159666zbMath0625.46030OpenAlexW2057834580MaRDI QIDQ579590

Alexander V. Abanin

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01159666

zbMATH Keywords

indicator of growth of an entire functionspaces of entire functionssufficiency teststopology of inductive limitsuniqueness sets

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Entire functions of several complex variables (32A15)

Related Items

Effective and sampling sets for Hörmander spaces ⋮ Sufficient sets in weighted Fréchet spaces of entire functions ⋮ From integral estimates of functions to uniform and locally averaged ones ⋮ Sampling sets for the space of holomorphic functions of polynomial growth in a ball ⋮ Closed principal ideals in nonradial Hörmander algebras ⋮ Sampling sets and sufficient sets for \(A^{-\infty}\)

Cites Work

• Representing systems
• Sufficient Sets for Some Spaces of Entire Functions
• On Effective Sets of Points in Relation to Integral Functions
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