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1. Luzin's correction theorem and the coefficients of Fourier expansions in the Faber-Schauder system.

Author

Grigoryan, M. and Krotov, V.

Subjects
*SCHAUDER bases, *CORRECTION factors, *FOURIER series, *TRIGONOMETRIC functions, *BINOMIAL coefficients
Abstract

Suppose that b ↓ 0 and Σ( b/ n)=+∞. In this paper, it is proved that any measurable almost everywhere finite function on [0, 1] can be corrected on a set of arbitrarily small measure to a continuous function $\tilde f$ so that the nonzero moduli $|A_n (\tilde f)|$ of the Fourier-Faber-Schauder coefficients of the corrected function are b. [ABSTRACT FROM AUTHOR]

Published
2013
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