Supershift Properties for Nonanalytic Signals

Authors

Fabrizio Colombo, Politecnico di Milano
Irene Sabadini, Politecnico di Milano
Daniele Carlo Struppa, Chapman UniversityFollow
Alain Yger, Université de Bordeaux

Document Type

Article

Publication Date

4-30-2025

Abstract

The phenomenon of superoscillations is of great interest in microscopy, antenna design, and material sciences. This phenomenon has been generalized and has given rise to the concept of supershift, which is a far reaching extension that applies to functions that may present discontinuous derivatives. From this perspective, this is a notion that might have significant applications. This paper will provide an up to date report on the complex connections between the concept of supershift and that of analyticity.

Comments

This article was originally published in Nanophotonics in 2025. https://doi.org/10.1515/nanoph-2024-0718

Recommended Citation

Colombo, Fabrizio, Sabadini, Irene, Struppa, Daniele Carlo and Yger, Alain. "Supershift properties for nonanalytic signals" Nanophotonics, 2025. https://doi.org/10.1515/nanoph-2024-0718

Peer Reviewed

1

Copyright

The authors

Creative Commons License

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