Geodesic
A sharp estimate of the measure of the set of divergence of multiple orthogonal Fourier series
M. I. Dyachenko 1   ; K. S. Kazarian 2
1 Departamento de Matemáticas, C-XV Universidad Autónoma de Madrid 28049 Madrid, Spain and Department of Function Theory Faculty of Mechanics and Mathematics Moscow State University Vorobevy Gory 119899 Moscow, Russia
2 Institute of Mathematics National Academy of Sciences Marshal Bagramyan Av. 24-B 375019 Yerevan, Armenia
Studia Mathematica, Tome 159 (2003) no. 1, pp. 33-50 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The aim of this paper is to obtain sharp estimates from below of the measure of the set of divergence of the $m$-fold Fourier series with respect to uniformly bounded orthonormal systems for the so-called $G$-convergence and $\lambda $-restricted convergence. We continue the study begun in a previous work.
DOI : 10.4064/sm159-1-2
Keywords: paper obtain sharp estimates below measure set divergence m fold fourier series respect uniformly bounded orthonormal systems so called g convergence lambda restricted convergence continue study begun previous work

M. I. Dyachenko  1   ; K. S. Kazarian  2

1 Departamento de Matemáticas, C-XV Universidad Autónoma de Madrid 28049 Madrid, Spain and Department of Function Theory Faculty of Mechanics and Mathematics Moscow State University Vorobevy Gory 119899 Moscow, Russia
2 Institute of Mathematics National Academy of Sciences Marshal Bagramyan Av. 24-B 375019 Yerevan, Armenia 
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M. I. Dyachenko; K. S. Kazarian. A sharp estimate of the measure of the set
 of divergence of multiple orthogonal Fourier series. Studia Mathematica, Tome 159 (2003) no. 1, pp. 33-50. doi: 10.4064/sm159-1-2

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