On the unconditional almost-everywhere convergence of general orthogonal series

• Дата: 2011
• Автори: Mikhailets, V. A., Murach, A. A., Михайлец, В. А., Мурач, А. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2011
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2812
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.