Criterion for convergence almost everywhere, with applications
Functional Analysis
2015-07-16 v1
Abstract
We derive the necessary and sufficient condition for almost sure convergence of the sequence of measurable functions, and consider some applications in the theory of Fourier series and in the theory of random fields.
Cite
@article{arxiv.1507.04020,
title = {Criterion for convergence almost everywhere, with applications},
author = {E. Ostrovsky and L. Sirota},
journal= {arXiv preprint arXiv:1507.04020},
year = {2015}
}