M. Sh. Burlutskaya, A. P. Khromov, “The Steinhaus Theorem on Equiconvergence for Functional-Differential Operators”, Mat. Zametki, 2011, Volume 90, Issue 1,Pages <nobr>22

This article is cited in 7 papers

The Steinhaus Theorem on Equiconvergence for Functional-Differential Operators

M. Sh. Burlutskaya^a, A. P. Khromov^b

^a Voronezh State University
^b Saratov State University named after N. G. Chernyshevsky

Abstract: We establish the equiconvergence of the series $S(af)$ and $a(x)S(f)$, where $S(f)$ is the Fourier series in the eigenfunctions and associated functions of a certain functional-differential operator with involution.

Keywords: Steinhaus theorem, equiconvergence of series, functional-differential operator, Fourier series, Dirac operator, Lipschitz condition.

UDC: 517.984

Received: 29.04.2009

DOI: 10.4213/mzm8628