The Orlicz and Tandori theorems on the unconditional almost-everywhere convergence, with respect to Lebesgue measure, of real orthogonal series defined on the interval (0; 1) are extended to general complex orthogonal series defined on a space with arbitrary measure.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 10, pp. 1360–1367, October, 2011.
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Mikhailets, V.A., Murach, A.A. On the unconditional almost-everywhere convergence of general orthogonal series. Ukr Math J 63, 1543–1550 (2012). https://doi.org/10.1007/s11253-012-0599-z
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DOI: https://doi.org/10.1007/s11253-012-0599-z