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On the convergence almost everywhere of double series with respect to diagonal block-orthonormal systems

Nadibaidze, Givi (2011) On the convergence almost everywhere of double series with respect to diagonal block-orthonormal systems. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 27 (2). pp. 257-265. ISSN 0866-0174

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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.

Item Type: Article
Uncontrolled Keywords: block-orthonormal systems, diagonal block-orthonormal systems
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 02 Feb 2024 12:11
Last Modified: 02 Feb 2024 12:11
URI: http://real.mtak.hu/id/eprint/187174

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