On the representation of signals series by Faber-Schauder system

We prove that : if f(x) is a measurable function, finite almost everywhere on [0,1] then there is a Schauder series, which converges unconditionally to f almost everywhere on [0,1] and for every ε > 0 there is a measurable set E contained in [0,1], with |E|> 1 −ε, such that for each f∈C(E) the...

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Bibliographic Details
Main Authors: Grigoryan Tigran, Grigoryan Martin
Format: Article
Language:English
Published: EDP Sciences 2017-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201712505005