On the divergence of triangular and eccentric spherical sums of double Fourier series. (11th March 2016)

• Record Type: Journal Article
• Authors: Karagulyan, G A
• Is Part Of: Sbornik. Volume 207:Number 1(2016)
• Page Start: 65
• Page End: 84
• Publication Date: 2016-03-11
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1070/SM8494
• Languages: English
• ISSNs: 1064-5616

Abstract

Abstract: We construct a continuous function on the torus with almost everywhere divergent triangular sums of double Fourier series. We also prove an analogous theorem for eccentric spherical sums. Bibliography: 14 titles.