Work

Superoscillations and the Klein–Gordon equation via the Fourier method

Year: 2025

Type: article

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.

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0301401

Authors: Kamal Diki, Simon Verbruggen

Institution: Ghent University

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Fonds Wetenschappelijk Onderzoek

Award: Polyanalytic functional calculus and reproducing kernel Hilbert spaces: complex and hypercomplex cases