Superoscillations (Q5249771)

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scientific article; zbMATH DE number 6435270

Language	Label	Description	Also known as
English	Superoscillations	scientific article; zbMATH DE number 6435270

Statements

scholarly article

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Superoscillations (English)

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New Perspectives on Approximation and Sampling Theory

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publication date

12 May 2015

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zbMATH Keywords

band-limited function

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Fourier components

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superoscillations

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Paulo Jorge S. G. Ferreira

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-319-08801-3_10

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Some mathematical properties of superoscillations

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Modern sampling theory. Mathematics and applications

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Evanescent and real waves in quantum billiards and Gaussian beams

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Quantum backflow, negative kinetic energy, and optical retro-propagation

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Natural superoscillations in monochromatic waves in<i>D</i>dimensions

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Evolution of quantum superoscillations and optical superresolution without evanescent waves

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Herbert Raabe's work in multiplex signal transmission and his development of sampling methods

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Multiplex signal transmission and the development of sampling techniques: the work of Herbert Raabe in contrast to that of Claude Shannon

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Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers

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Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview

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Superoscillations of Prescribed Amplitude and Derivative

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Superoscillations With Optimum Energy Concentration

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Direct Construction of Superoscillations

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Free-fermion entanglement and spheroidal functions

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The stability of a procedure for the recovery of lost samples in band- limited signals

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Superoscillations: Faster Than the Nyquist Rate

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Construction of Aharonov–Berry's superoscillations

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Black holes, bandwidths and Beethoven

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Unusual properties of superoscillating particles

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Information Theory, Spectral Geometry, and Quantum Gravity

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Necessary density conditions for sampling an interpolation of certain entire functions

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Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II

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Non-oscillating Paley–Wiener functions

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A simple model of Aharonov - Berry's superoscillations

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Mathematical Analysis of Random Noise

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Mathematical Analysis of Random Noise

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A Mathematical Theory of Communication

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Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case

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Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I

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Almost periodic functions with bounded Fourier exponents

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Zeros of the Fourier transform of a distribution

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-08801-3_10

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5249771

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