Uniform convergence of translation operators
Functional Analysis
2022-03-02 v1
Abstract
It is well known that there are entire functions whose orbit approximates any other entire function under the action of a sequence of translation operators . This result also holds for an uncountable family of sequences of translation operators when the convergence is pointwise .We prove that this result does not hold uniformly .
Keywords
Cite
@article{arxiv.2203.00005,
title = {Uniform convergence of translation operators},
author = {Nikolaos Tsirivas},
journal= {arXiv preprint arXiv:2203.00005},
year = {2022}
}
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20 pages