A new method to generate superoscillating functions and supershifts

@article{Aharonov2021ANM,
  title={A new method to generate superoscillating functions and supershifts},
  author={Yakir Aharonov and Fabrizio Colombo and Irene Sabadini and Tomer Shushi and Daniele C. Struppa and Jeff Tollaksen},
  journal={Proceedings of the Royal Society A},
  year={2021},
  volume={477}
}
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. 
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TLDR
A new numerically stable method for constructing superoscillatory wave forms in an arbitrary number of dimensions that allows the construction of superoscilling square-integrable functions that match any desired smooth behavior in their superoscilled region to arbitrary accuracy.
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