Some mathematical properties of superoscillations

DOI10.1088/1751-8113/44/36/365304zbMath1230.42004OpenAlexW1963685791MaRDI QIDQ3173037

No author found.

Publication date: 10 October 2011

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

Full work available at URL: https://semanticscholar.org/paper/e208bdf55dd4cb61742429082d8f7c3f4ae347c4

zbMATH Keywords

quantum measurement approximation of functions superoscillatory functions

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Quantum measurement theory, state operations, state preparations (81P15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (39)

Superoscillating sequences and supershifts for families of generalized functions ⋮ Transmission through a regular vs. a superoscillating barrier ⋮ Classes of superoscillating functions ⋮ Continuity of some operators arising in the theory of superoscillations ⋮ Four aspects of superoscillations ⋮ Schrödinger evolution of superoscillations under different potentials ⋮ Evolution of superoscillations in the Dirac field ⋮ A unified approach to Schrödinger evolution of superoscillations and supershifts ⋮ Uncertainty inequalities for superoscillations ⋮ Superoscillating sequences in several variables ⋮ An approach to constructing super oscillatory functions ⋮ Superoscillations for monochromatic standing waves ⋮ Evolution of superoscillations in a relativistic wavepacket ⋮ Gauss sums, superoscillations and the Talbot carpet ⋮ Quantum harmonic oscillator with superoscillating initial datum ⋮ On some operators associated to superoscillations ⋮ Superoscillations and analytic extension in Schur analysis ⋮ On the generating functions and special functions associated with superoscillations ⋮ Superoscillations and Fock spaces ⋮ Yield statistics of interpolated superoscillations ⋮ Suppression of superoscillations by noise ⋮ Evolution of superoscillations for Schrödinger equation in a uniform magnetic field ⋮ Superoscillating sequences towards approximation in \(\mathscr{S}\) or \(\mathscr{S}^\prime\)-type spaces and extrapolation ⋮ Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations ⋮ Superoscillating sequences as solutions of generalized Schrödinger equations ⋮ Infinite-order differential operators acting on entire hyperholomorphic functions ⋮ Holomorphic functions, relativistic sum, Blaschke products and superoscillations ⋮ Representing superoscillations and narrow Gaussians with elementary functions ⋮ How superoscillating tunneling waves can overcome the step potential ⋮ Evolution by Schrödinger equation of Aharonov–Berry superoscillations in centrifugal potential ⋮ Continuity theorems for a class of convolution operators and applications to superoscillations ⋮ The Mathematics of Superoscillations ⋮ Superoscillating sequences and hyperfunctions ⋮ Superoscillations and leaky spectra ⋮ Evolution of superoscillations in the Klein-Gordon field ⋮ Evolution of Aharonov-Berry superoscillations in Dirac \(\delta\)-potential ⋮ Superoscillations ⋮ Introduction to Weak Measurements and Weak Values ⋮ Evolution of superoscillatory initial data in several variables in uniform electric field

This page was built for publication: Some mathematical properties of superoscillations