On Weyl multipliers of non-overlapping Franklin polynomial systems
Classical Analysis and ODEs
2022-06-07 v3
Abstract
We prove that is an almost everywhere convergence Weyl multiplier for any orthonormal system of non-overlapping Franklin polynomials. It will also be remarked that is the optimal sequence in this context.
Keywords
Cite
@article{arxiv.2005.04017,
title = {On Weyl multipliers of non-overlapping Franklin polynomial systems},
author = {Grigori A. Karagulyan},
journal= {arXiv preprint arXiv:2005.04017},
year = {2022}
}
Comments
more general results for wavelet type systems were obtained in arXiv:2104.03124