English

On the divergence of triangular and eccentrical spherical sums of double Fourier series

Classical Analysis and ODEs 2017-02-10 v1

Abstract

We construct a continuous function on the torus with almost everywhere divergence triangular sums of double Fourier series. An analogous theorem we also prove for eccentrical spherical sums.

Keywords

Cite

@article{arxiv.1502.05984,
  title  = {On the divergence of triangular and eccentrical spherical sums of double Fourier series},
  author = {Grigori Karagulyan},
  journal= {arXiv preprint arXiv:1502.05984},
  year   = {2017}
}

Comments

23 pages