| Issue |
MATEC Web Conf.
Volume 125, 2017
21st International Conference on Circuits, Systems, Communications and Computers (CSCC 2017)
|
|
|---|---|---|
| Article Number | 05005 | |
| Number of page(s) | 5 | |
| Section | Signal Processing | |
| DOI | https://doi.org/10.1051/matecconf/201712505005 | |
| Published online | 04 October 2017 | |
On the representation of signals series by Faber-Schauder system
Yerevan State University, Chair of Higher Mathematics, 1 Al. Manukyan str., Yerevan, 0025, Armenia
* Corresponding author: gmarting@ysu.am
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) there is a Schauder series, which unconditionally converges to f in the uniform norm.
© The Authors, published by EDP Sciences, 2017
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