Sampling sets and sufficient sets for \(A^{-\infty}\)

DOI10.1016/S0022-247X(02)00616-9zbMath1019.30026OpenAlexW1965513320MaRDI QIDQ1868797

José Bonet, Paweł Domański

Publication date: 28 April 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00616-9

zbMATH Keywords

polynomial growthBergman spacessampling setsweakly sufficient setsholomorphic functions on the unit disc

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (9)

Effective and sampling sets for Hörmander spaces ⋮ Approximation with rational interpolants in \(A^{-\infty}(D)\) for Dini domains ⋮ 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

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