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Brief Communications

On the Coefficients of Expansions in Bases of Smooth Functions of Several Variables

A. V. Meleshkina

M. V. Lomonosov Moscow State University

Keywords: normalized basis in $L_p([0,1]^d)$, the class of functions $\operatorname{Lip}\alpha$, Faber–Schauder system, Haar system, Rademacher function, Fourier series.

Received: 14.09.2010
Revised: 08.02.2011

DOI: 10.4213/mzm9159

 English version: Mathematical Notes, 2011, 89:6, 893–898

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