English

An exponential estimate for the square partial sums of multiple Fourier series

Classical Analysis and ODEs 2019-05-22 v1

Abstract

We prove an exponential integral estimate for the quadratic partial sums of multiple Fourier series on large sets that implies some new properties of Fourier series.

Keywords

Cite

@article{arxiv.1802.00956,
  title  = {An exponential estimate for the square partial sums of multiple Fourier series},
  author = {Grigori Karagulyan and Hasmik Mkoyan},
  journal= {arXiv preprint arXiv:1802.00956},
  year   = {2019}
}

Comments

16 pages