What is it about?

In this paper we investigate Fourier series for s-dimensional spaces of the functions with bounded variation.

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Why is it important?

In the paper we have proved some well known inequalities for multiple orthonormal systems

Perspectives

The new problems of absolute convergence of multiple orthonormal systems.

Tsagareishvili Vakhtang
Ivane Javakhishvili Tbilisi State University

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This page is a summary of: On the absolute convergence of Fourier series with respect to general orthonormal systems, Georgian Mathematical Journal, January 2017, De Gruyter,
DOI: 10.1515/gmj-2017-0019.
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