Representing superoscillations and narrow Gaussians with elementary functions
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Publication:506243
DOI10.1007/s00032-016-0256-3zbMath1383.42006OpenAlexW2529593789MaRDI QIDQ506243
Publication date: 31 January 2017
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00032-016-0256-3
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Approximations to statistical distributions (nonasymptotic) (62E17) Elementary functions (26A09)
Related Items (19)
Superoscillating sequences and supershifts for families of generalized functions ⋮ Evolution of superoscillations in the Dirac field ⋮ Evolution of superoscillations for spinning particles ⋮ A unified approach to Schrödinger evolution of superoscillations and supershifts ⋮ Uncertainty inequalities for superoscillations ⋮ An approach to constructing super oscillatory functions ⋮ Evolution of superoscillations in a relativistic wavepacket ⋮ On the generating functions and special functions associated with superoscillations ⋮ The general theory of superoscillations and supershifts in several variables ⋮ Integral representation of superoscillations via complex Borel measures and their convergence ⋮ Escaping superoscillations ⋮ Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations ⋮ Infinite-order differential operators acting on entire hyperholomorphic functions ⋮ Holomorphic functions, relativistic sum, Blaschke products and superoscillations ⋮ How superoscillating tunneling waves can overcome the step potential ⋮ Evolution by Schrödinger equation of Aharonov–Berry superoscillations in centrifugal potential ⋮ The Mathematics of Superoscillations ⋮ Evolution of superoscillations in the Klein-Gordon field ⋮ Representing fractals by superoscillations
Uses Software
Cites Work
- Unnamed Item
- Superoscillations, Endfire and Supergain
- Analysis of superoscillatory wave functions
- Some mathematical properties of superoscillations
- Superoscillations: Faster Than the Nyquist Rate
- Evanescent and real waves in quantum billiards and Gaussian beams
- Exact nonparaxial transmission of subwavelength detail using superoscillations
- Evolution of quantum superoscillations and optical superresolution without evanescent waves
- A Mathematical Theory of Linear Arrays
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