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On the representation systems with respect to summation methods

100%

Kazarian K.

Banach Center Publications

2006

tom 72

nr 1

111-117

Properties of representation systems with respect to summation methods are studied. For a given representation system with respect to a given summation method we study, in particular, the question of the stability of that property after deleting finitely many elements. As a consequence we obtain the existence of null series for the systems with respect to a given method of summation.

A sharp estimate of the measure of the set of divergence of multiple orthogonal Fourier series

63%

Dyachenko M., Kazarian K.

Studia Mathematica

2003

tom 159

nr 1

33-50

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 λ-restricted convergence. We continue the study begun in a previous work.

Ograniczanie wyników

1 Banach Center Publications

1 Studia Mathematica

2 Kazarian K.

1 Dyachenko M.

1 2006

1 2003

Wyniki wyszukiwania

On the representation systems with respect to summation methods

A sharp estimate of the measure of the set of divergence of multiple orthogonal Fourier series