Some unexpected behaviors of operators with small time-frequency dispersion
Classical Analysis and ODEs
2022-10-17 v1
Abstract
We study the approximation properties of pseudo-differential operators with small time-frequency dispersion, meaning that their spreading functions are supported in a small neighborhood of the origin. It is commonly assumed that for such operators , the output can differ only a little from a scalar multiple of the input . However, we disprove this heuristic statement, hence revealing some unexpected behaviors of such operators.
Keywords
Cite
@article{arxiv.2210.07915,
title = {Some unexpected behaviors of operators with small time-frequency dispersion},
author = {Dae Gwan Lee},
journal= {arXiv preprint arXiv:2210.07915},
year = {2022}
}
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10 pages