Trigonometric series with noninteger harmonics
Classical Analysis and ODEs
2021-12-07 v3
Abstract
Let be a nonincreasing sequence of positive numbers (more general classes of sequences are also considered), and be not an integer. We find necessary and sufficient conditions for the uniform convergence of the series and on the real line and its bounded subsets.
Cite
@article{arxiv.2102.05698,
title = {Trigonometric series with noninteger harmonics},
author = {Mikhail R. Gabdullin},
journal= {arXiv preprint arXiv:2102.05698},
year = {2021}
}