The general theory of superoscillations and supershifts in several variables
From MaRDI portal
Publication:6082541
DOI10.1007/s00041-023-10048-wzbMath1527.26008arXiv2301.13482MaRDI QIDQ6082541
No author found.
Publication date: 30 November 2023
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.13482
infinite-order differential operatorsgeneral superoscillatory functionssupershifts in several variables
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Elementary functions (26A09)
Cites Work
- Unnamed Item
- Superoscillating sequences in several variables
- Representing superoscillations and narrow Gaussians with elementary functions
- Evolution of superoscillations in the Klein-Gordon field
- Evolution of superoscillations in the Dirac field
- Classes of superoscillating functions
- Superoscillating sequences towards approximation in \(\mathscr{S}\) or \(\mathscr{S}^\prime\)-type spaces and extrapolation
- Continuity theorems for a class of convolution operators and applications to superoscillations
- Superoscillating sequences and supershifts for families of generalized functions
- A unified approach to Schrödinger evolution of superoscillations and supershifts
- Persistence of superoscillations under the Schrödinger equation
- Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations
- Superoscillating sequences and hyperfunctions
- Evolution of Aharonov-Berry superoscillations in Dirac \(\delta\)-potential
- Gauss sums, superoscillations and the Talbot carpet
- Unusual properties of superoscillating particles
- Characterization of continuous endomorphisms of the space of entire functions of a given order
- Construction of Aharonov–Berry's superoscillations
- Evolution of quantum superoscillations and optical superresolution without evanescent waves
- The Mathematics of Superoscillations
- Integral representation of superoscillations via complex Borel measures and their convergence
This page was built for publication: The general theory of superoscillations and supershifts in several variables
