English

Convergence of multiple Fourier series of functions of bounded generalized variation

Analysis of PDEs 2012-10-09 v1

Abstract

The paper introduces a new concept of Λ\Lambda -variation of multivariable functions and investigates its connection with the convergence of multidimensional Fourier series

Keywords

Cite

@article{arxiv.1210.2079,
  title  = {Convergence of multiple Fourier series of functions of bounded generalized variation},
  author = {Ushangi Goginava and Artur Sahakian},
  journal= {arXiv preprint arXiv:1210.2079},
  year   = {2012}
}