Superoscillations and the Klein-Gordon equation via the Fourier method
Mathematical Physics
2025-10-14 v1 math.MP
Abstract
We investigate the time-evolution problem associated with the Klein-Gordon equation, using superoscillations as initial data. Additionally, the Segal-Bargmann transform is used to derive integral representations of the resulting solutions.
Keywords
Cite
@article{arxiv.2510.10700,
title = {Superoscillations and the Klein-Gordon equation via the Fourier method},
author = {Kamal Diki and Simon Verbruggen},
journal= {arXiv preprint arXiv:2510.10700},
year = {2025}
}