Talbot effect on the sphere and torus for \(d \geq 2\)
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Publication:6123042
DOI10.1007/s00209-024-03447-2arXiv2304.12363MaRDI QIDQ6123042
Ryan McConnell, Mehmet Burak Erdogan, Chi N. Y. Huynh
Publication date: 4 March 2024
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.12363
Fractals (28A80) Time-dependent Schrödinger equations and Dirac equations (35Q41) Harmonic analysis and PDEs (42B37) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Cites Work
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- Numerical simulation of nonlinear dispersive quantization
- Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces
- Decomposition of Besov and Triebel-Lizorkin spaces on the sphere
- Geometrical dimension versus smoothness
- The derivative nonlinear Schrödinger equation on the half line
- Fractal solutions of dispersive partial differential equations on the torus
- The Schrödinger equation on spheres.
- Nonlinear smoothing for the periodic generalized nonlinear Schrödinger equation
- The dynamics of vortex filaments with corners
- The proof of the \(l^2\) decoupling conjecture
- Traces of the discrete Hilbert transform with quadratic phase
- Talbot effect for the cubic non-linear Schröedinger equation on the torus
- Dispersive Partial Differential Equations
- Global Smoothing for the Periodic KdV Evolution
- Vortex filament equation for a regular polygon
- Localized Tight Frames on Spheres
- The quantum Talbot effect on a sphere
- Dispersive Quantization
- Symmetric tensor spherical harmonics on the N-sphere and their application to the de Sitter group SO(N,1)
- On the Weierstrass-Mandelbrot fractal function
- Quantum fractals in boxes
- Integer, fractional and fractal Talbot effects
- Points of constancy of the periodic linearized Korteweg–deVries equation
- On Definitions of Bounded Variation for Functions of Two Variables
- On double Riemann-Stieltjes integrals
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- Fractal solutions of linear and nonlinear dispersive partial differential equations
- Some applications of multidimensional integration by parts
- Linearization of the Product of Jacobi Polynomials. I
- Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations
- About the quantum Talbot effect on the sphere
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