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arXiv · 2311.17703

A proposal to characterize and quantify superoscillations

Yu Li·José Polo-Gómez·Eduardo Martín-Martínez
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Abstract

We present a formal definition of superoscillating function. We discuss the limitations of previously proposed definitions and illustrate that they do not cover the full gamut of superoscillatory behaviours. We demonstrate the suitability of the new proposal with several examples of well-known superoscillating functions that were not encompassed by previous definitions.

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Yu Li, José Polo-Gómez, Eduardo Martín-Martínez. 2023-11-29. A proposal to characterize and quantify superoscillations. https://doi.org/10.1088/1751-8121%2Fad318b

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