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Vietnam Journal of Mathematics 36:4(2008) 387-393

Hadamard Gap Theorem and Overconvergence for Faber-Erokhin Expansions 

Patrice Lassère 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.

 

 

 

 

 

 

 

 

 

 

 

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