On Superoscillations and Supershifts in Several Variables

Authors

Yakir Aharonov, Chapman UniversityFollow
Fabrizio Colombo, Politecnico di MilanoFollow
Andrew N. Jordan, Chapman UniversityFollow
Irene Sabadini, Politecnico di MilanoFollow
Tomer Shushi, Ben-Gurion University of the NegevFollow
Daniele C. Struppa, Chapman UniversityFollow
Jeff Tollaksen, Chapman UniversityFollow

Document Type

Article

Publication Date

7-27-2022

Abstract

The aim of this paper is to study a class of superoscillatory functions in several variables, removing some restrictions on the functions that we introduced in a previous paper. Since the tools that we used with our approach are not common knowledge we will give detailed proof for the case of two variables. The results proved for superoscillatory functions in several variables can be further extended to supershifts in several variables.

Comments

This article was originally published in Quantum Studies: Mathematics and Foundations in 2022. https://doi.org/10.1007/s40509-022-00277-x

Recommended Citation

Aharonov, Y., Colombo, F., Jordan, A.N. et al. On superoscillations and supershifts in several variables. Quantum Stud.: Math. Found. (2022). https://doi.org/10.1007/s40509-022-00277-x

Peer Reviewed

1

Copyright

The authors

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.