Epifanov, O. V. Variations of weakly sufficient sets in spaces of analytic functions. (English. Russian original) Zbl 0614.32018 Sov. Math. 30, 67-74 (1986); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1986, No. 7(290), 50-56 (1986). The author investigates weakly sufficient sets for spaces of analytic functions. (For definitions of sufficient sets see L. Ehrenpreis, Trans. Am. Math. Soc. 101, 52-74 (1961; Zbl 0101.091) and D. Schneider, Trans. Am. Math. Soc. 197, 161-180 (1974; Zbl 0264.46018)). He proves that every weakly sufficient set contains a minimal discrete weakly sufficient set and that the property of being a weakly sufficient set is unaffected by ”slight” variations of the set in question. Reviewer: M.Klimek Cited in 7 Documents MSC: 32A38 Algebras of holomorphic functions of several complex variables 32A10 Holomorphic functions of several complex variables 46E15 Banach spaces of continuous, differentiable or analytic functions Keywords:sufficient sets for spaces of analytic functions PDF BibTeX XML Cite \textit{O. V. Epifanov}, Sov. Math. 30, 67--74 (1986; Zbl 0614.32018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1986, No. 7(290), 50--56 (1986)