**
Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 27, No. 2, pp. 257-265 (2011)
**

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

##
Givi Nadibaidze

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

**Full text of the article:**

[Previous Article] [Next Article] [Contents of this Number]

*
© 2012
FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition
*