FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 3, PAGES 813-829
T. P. Lukashenko
T. V. Rodionov
Abstract
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For generalized expansion systems similar to
orthogonal ones the analogs of the following properties of orthogonal
systems are proved:
Paley--Zygmund theorem on almost everywhere convergence under
almost all orders of signs, Garsia theorem on existence of
almost everywhere convergent rearrangement of series terms,
Orlicz and Tandori theorems on unconditional convergence.
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Last modified: December 8, 2000