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Vietnam Journal of Mathematics 36:4(2008) 387-393
Hadamard Gap Theorem and Overconvergence for Faber-Erokhin Expansions
Patrice Lass\`ere and Nguyen Thanh Van
Abstract. We extend the Hadamard-Fabry gap theorem for power series to Faber-Erokhin ones.
2000 Mathematics Subject Classification: 30B50, 30B40.
Keywords: Expansions, Faber-Erokhin basis, Hadamard Theorem, Overconvergence, Schauder basis, Change of sign, Gap.