Evolution of Superoscillations in the Klein-Gordon Field

Authors

Yakir Aharonov, Chapman UniversityFollow
Fabrizio Colombo, Politecnico di Milano
Irene Sabadini, Politecnico di Milano
Daniele C. Struppa, Chapman UniversityFollow
Jeff Tollaksen, Chapman UniversityFollow

Document Type

Article

Publication Date

3-23-2020

Abstract

Superoscillating functions are band-limited functions that can oscillate faster than their fastest Fourier component. There is nowadays a large literature on the evolution of superoscillations under Schrödinger equation with different type of potentials. In this paper, we study the evolution of superoscillations under the Klein-Gordon equation and we describe in precise mathematical terms in what sense superoscillations persist in time during the evolution. The main tools for our investigation are convolution operators acting on spaces of entire functions and Green functions.

Comments

This article was originally published in Milan Journal of Mathematics in 2020. https://doi.org/10.1007/s00032-020-00310-x

The link above will take the reader to a read-only version of the final, published article.

Recommended Citation

Aharonov, Y., Colombo, F., Sabadini, I. et al. Evolution of Superoscillations in the Klein-Gordon Field. Milan J. Math. (2020). https://doi.org/10.1007/s00032-020-00310-x

Peer Reviewed

1

Copyright

Springer