Sufficient Sets for Some Spaces of Entire Functions

DOI10.2307/1996933zbMath0264.46018OpenAlexW4250554226MaRDI QIDQ5680601

Dennis M. Schneider

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/1996933

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Entire functions of several complex variables (32A15)

Related Items (16)

Effective and sampling sets for Hörmander spaces ⋮ Pre-dual of the function algebra \(A^{-\infty}(D)\) and representation of functions in Dirichlet series ⋮ Sufficient sets in weighted Fréchet spaces of entire functions ⋮ On solutions of convolution equations in spaces of ultradifferentiable functions ⋮ Cauchy-Fantappiè transformation and mutual dualities between \(A^{- \infty}(\varOmega)\) and \(A^\infty(\tilde {\varOmega})\) for lineally convex domains ⋮ Representation of functions in locally convex subspaces of $A^\infty (D)$ by series of exponentials ⋮ Expansions of functions into Dirichlet series ⋮ Sampling sets for the space of holomorphic functions of polynomial growth in a ball ⋮ To the question on \(\gamma\)-sufficient sets ⋮ Dual of the function algebra 𝐴^{-∞}(𝐷) and representation of functions in Dirichlet series ⋮ Certain criteria for weak sufficiency ⋮ On a Particular Solution of a Nonhomogeneous Convolution Equation in Spaces of Ultradifferentiable Functions ⋮ Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball ⋮ The strict topology in certain weighted spaces of functions ⋮ Distribution of indices of representing systems of generated exponents ⋮ Sampling sets and sufficient sets for \(A^{-\infty}\)

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• Volumes, limits, and extensions of analytic varieties
• A seminorm topology for some (DF)-spaces of entire functions
• Discrete Sufficient Sets for Some Spaces of Entire Functions
• On Effective Sets of Points in Relation to Integral Functions
• Propriétés métriques des variétés analytiques complexes définies par une équation

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