FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 1, PAGES 81-92

**On unconditional and absolute convergence of wavelet type series**

S. V. Golovan

Abstract

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In this paper we consider *wavelet type* systems, i. e.
systems of type

$\{$y_{mn}(x) = 2^{m/2} y
(2^{m}x - n)},
where $$y Î L^{2}(**R**)
such that $\$\; supp$y \Subset **R** $.
Let $E$ be
a set of real numbers.
We prove the equivalence of absolute and unconditional
convergence almost everywhere on $E$ of the series

$$S_{m ³ 0, n Î Z} a_{mn}
y_{mn}(x).

All articles are
published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k00/k001/k00108h.htm

Last modified: April 11, 2000