Superoscillations and leaky spectra

DOI10.1088/1751-8121/aaeebbzbMath1422.42005OpenAlexW2899609788WikidataQ128912254 ScholiaQ128912254MaRDI QIDQ5235169

M. V. Berry

Publication date: 7 October 2019

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ab8a7abdfe9fd6c3126d5af1b8b2cf6fb92c0040

zbMATH Keywords

Fourierweak valueband-limited

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Oscillation theory for difference equations (39A21)

Related Items (2)

An approach to constructing super oscillatory functions ⋮ Partially coherent superoscillations in the Talbot effect

Uses Software

• DLMF

Cites Work

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• Traveling waves of the regularized short pulse equation
• Yield statistics of interpolated superoscillations
• Some mathematical properties of superoscillations
• Dislocations in wave trains
• Unusual properties of superoscillating particles
• Typical weak and superweak values
• Five momenta
• Evolution of quantum superoscillations and optical superresolution without evanescent waves
• Natural superoscillations in monochromatic waves inDdimensions
• The Mathematics of Superoscillations

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