On a new class of function systems of Faber-Schauder type

2007

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DOI 10.1134/s0001434607110016
Data confidence 70 medium
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Abstract

In this paper, we introduce a new class of function systems generalizing the classical Faber-Schauder system. Under the condition that the generating sequence is bounded, we show that systems of such a class constitute bases in the space of continuous functions and prove some properties of series expansions of functions in these systems.