2017
Том 69
№ 7

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On the unconditional almost-everywhere convergence of general orthogonal series

Mikhailets V. A., Murach A. A.

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Abstract

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 an arbitrary measure space.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 10, pp 1543-1550.

Citation Example: Mikhailets V. A., Murach A. A. On the unconditional almost-everywhere convergence of general orthogonal series // Ukr. Mat. Zh. - 2011. - 63, № 10. - pp. 1360-1367.

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