Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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ON THE POINTWISE BEHAVIOR OF SOME LACUNARY WAVELET SERIES

NOLI N. REYES

pp. 147-153

Abstract

We show that the pointwise behavior of certain lacunary wavelet series at a neighborhood of a singularity, under certain conditions on the coefficients, cannot be worse than that of the logarithm's at zero.