G. A. Akishev, “Convergence of Double Fourier Series of Functions from Symmetric Spaces”, Mat. Zametki, 2007, Volume 81, Issue 3,Pages <nobr>323

Convergence of Double Fourier Series of Functions from Symmetric Spaces

G. A. Akishev

E. A. Buketov Karaganda State University

Abstract: We establish conditions for the convergence of double Fourier series in the trigonometric system of functions belonging to a symmetric space.

Keywords: double Fourier series, trigonometric system of functions, $2\pi$-periodic function, symmetric space.

UDC: 517.51

Received: 15.10.2003
Revised: 06.06.2006

DOI: 10.4213/mzm3674