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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive
Proceedings of the YSU, Physical and Mathematical Sciences, 2016 Issue 1, Pages 3–6 (Mi uzeru91)
Mathematics

On a family of polynomials with respect to the Haar system

S. L. Gogyan

Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan

Abstract: We construct a sequence of polynomials with respect to the Haar system and show that they form democratic bases in $L^1(0,1)$.

Keywords: Haar polynomial, Haar system, democratic bases in $L^1(0,1)$.

MSC: Primary 42C05; Secondary 42C30

Received: 29.10.2015
Accepted: 16.12.2015

Language: English


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