Unbounded growth of band-limited functions
Classical Analysis and ODEs
2025-01-03 v1 Numerical Analysis
Numerical Analysis
Abstract
It is shown that a band-limited function bounded by 1 for negative x can grow arbitrarily fast for positive x.
Cite
@article{arxiv.2501.00901,
title = {Unbounded growth of band-limited functions},
author = {Lloyd N. Trefethen},
journal= {arXiv preprint arXiv:2501.00901},
year = {2025}
}