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- W3093726900 abstract "Two mathematical phenomena with applications in physics are: superoscillations, in which band-limited functions oscillate more rapidly than their fastest Fourier component; and the transformation of almost any smooth function into a monochromatic oscillation under repeated differentiation. These are opposite phenomena, and one mutates into the other, i.e. superoscillations are destroyed, as the number of derivatives increases. This behaviour is explained, and illustrated with an example." @default.
- W3093726900 created "2020-10-29" @default.
- W3093726900 creator A5032503181 @default.
- W3093726900 date "2020-11-06" @default.
- W3093726900 modified "2023-09-26" @default.
- W3093726900 title "Repeated differentiation suppresses superoscillations" @default.
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- W3093726900 doi "https://doi.org/10.1088/1751-8121/abc43e" @default.
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