Representation of Functions in *L*^{1}_{μ} Weighted Spaces by Series with Monotone Coefficients in the Walsh Genrealized System

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].

Cite this paper

M. Grigoryan and A. Minasyan, "Representation of Functions in*L*^{1}_{μ} Weighted Spaces by Series with Monotone Coefficients in the Walsh Genrealized System," *Applied Mathematics*, Vol. 4 No. 11, 2013, pp. 6-12. doi: 10.4236/am.2013.411A1002.

M. Grigoryan and A. Minasyan, "Representation of Functions in

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