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Pervasive Algebras of Analytic Functions
Authors:I. Netuka, A. G. O'Farrell,M. A. Sanabria-Garcí  a,
Affiliation:a Mathematical Institute, Charles University, Sokolovská, 83, 186 75, Praha 8, Czech Republic;b Department of Mathematics, National University of Ireland, Maynooth, Co. Kildare, Ireland
Abstract:We characterize those open U in the sphere such that A(U) is complex-pervasive, and those such that Re A(U) is real-pervasive. Pervasive means, roughly, that the uniform closure on each proper closed subset of bdy U is the space of all continuous functions (to Image or Image, as the case may be).
Keywords:
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