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

View as HTML     View as gif image    View as LaTeX source

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

where $$y Î L²(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

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k00/k001/k00108h.htm
Last modified: April 11, 2000