TITLE:
Representation of Functions in L1μ Weighted Spaces by Series with Monotone Coefficients in the Walsh Genrealized System
AUTHORS:
Martin Grigoryan, Artavazd Minasyan
KEYWORDS:
Orthonormal System; Convergence; Functional Series
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.11A,
October
31,
2013
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].