Sampling sequences for \(A^{-\infty}\)

DOI10.1307/MMJ/1029005713zbMath0889.30034OpenAlexW2061786231MaRDI QIDQ1371334

Charles Horowitz, Boris Korenblum, Bernard Pinchuk

Publication date: 28 October 1997

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

Full work available at URL: https://doi.org/10.1307/mmj/1029005713

zbMATH Keywords

sampling sequence

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Spaces of bounded analytic functions of one complex variable (30H05)

Related Items (11)

Effective and sampling sets for Hörmander spaces ⋮ Approximation with rational interpolants in \(A^{-\infty}(D)\) for Dini domains ⋮ Sharp bounds for asymptotic characteristics of growth of entire functions with zeros on given sets ⋮ Cauchy-Fantappiè transformation and mutual dualities between \(A^{- \infty}(\varOmega)\) and \(A^\infty(\tilde {\varOmega})\) for lineally convex domains ⋮ Sampling sets for the space of holomorphic functions of polynomial growth in a ball ⋮ Minimal absolutely representing systems of exponentials for \(A^{-\infty}(\varOmega)\) ⋮ Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth ⋮ Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball ⋮ On an explicit construction of weakly sufficient sets for the function algebraA^−∞(Ω) ⋮ Mutual dualities betweenA^−∞(Ω) and for lineally convex domains ⋮ Sampling sets and sufficient sets for \(A^{-\infty}\)

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