Sampling sequences for \(A^{-\infty}\)
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Publication:1371334
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
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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