Representation of Functions in L¹_μ Weighted Spaces by Series with Monotone Coefficients in the Walsh Genrealized System

Martin Grigoryan, Artavazd Minasyan

Department of Physics, Yerevan State University, Yerevan, Armenia.

DOI: 10.4236/am.2013.411A1002                

Abstract

Let is the Walsh generalized system. In the paper constructed a weighted space , and series in the Walsh generalized system with monotonically decreasing coefficient such that for each function in the space one can find a subseries that converges to in the weighted and almost everywhere on [0,1].

Keywords

Orthonormal System; Convergence; Functional Series

Conflicts of Interest

The authors declare no conflicts of interest.

References

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