Tbilisi State University
Abstract: The diagonal double block-orthonormal system is introduced. The two-dimensional generalization of Menshov-Rademacher's and V.F. Gaposhkin's theorems on the almost everywhere convergence of series with respect to block-orthonormal systems is proved.
Keywords: block-orthonormal systems, diagonal block-orthonormal systems
Classification (MSC2000): 42C20
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