@article{35235441b59f462a87ca550975bd328b,
title = "A new method to generate superoscillating functions and supershifts",
abstract = "Superoscillations are band-limited functions that can oscillate faster than their fastest Fourier component. These functions (or sequences) appear in weak values in quantum mechanics and in many fields of science and technology such as optics, signal processing and antenna theory. In this paper, we introduce a new method to generate superoscillatory functions that allows us to construct explicitly a very large class of superoscillatory functions. ",
keywords = "new method to generate superoscillations, superoscillating functions, supershift",
author = "Yakir Aharonov and Fabrizio Colombo and Irene Sabadini and Tomer Shushi and Struppa, {Daniele C.} and Jeff Tollaksen",
note = "Funding Information: Data accessibility. This article has no additional data. Authors{\textquoteright} contributions. The authors agree on the fact that the results of this paper have been obtained by common discussions and the paper has been jointly written. All authors gave final approval for publication and agree to be held accountable for the work performed therein. Competing interests. We declare we have no competing interests. Funding. The second author is partially supported by the PRIN project Direct and inverse problems for partial differential equations: theoretical aspects and applications and by the GNAMPA group of the INdAM. Acknowledgements. The authors would like to thank both the referees for their careful reading of the manuscript and for their comments. Publisher Copyright: {\textcopyright} 2021 The Author(s).",
year = "2021",
month = may,
day = "26",
doi = "10.1098/rspa.2021.0020",
language = "English",
volume = "477",
journal = "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences",
issn = "0080-4630",
publisher = "The Royal Society",
number = "2249",
}