Wave packet systems and connections to spectral analysis of limiting operators
Classical Analysis and ODEs
2026-01-13 v1 Mathematical Physics
Functional Analysis
math.MP
Spectral Theory
Abstract
We discuss the design of ``wave packet systems'' that admit strong concentration properties in phase space. We make a connection between this problem and topics in signal processing related to the spectral behavior of spatial and frequency-limiting operators. The results have engineering applications in medical imaging, geophysics, and astronomy.
Cite
@article{arxiv.2601.06945,
title = {Wave packet systems and connections to spectral analysis of limiting operators},
author = {Kevin Hughes and Arie Israel and Azita Mayeli},
journal= {arXiv preprint arXiv:2601.06945},
year = {2026}
}
Comments
Publisher: IEEE