Nonlinearly bandlimited signals

DOI10.1088/1751-8121/ab01c4OpenAlexW2900513067MaRDI QIDQ5051646

Vishal Vaibhav

Publication date: 18 November 2022

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

Full work available at URL: https://arxiv.org/abs/1811.06338

zbMATH Keywords

bandlimited signalsinverse scatteringGelfand-Levitan-Marchenko integral equations

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Direct scattering of AKNS systems with \(L^2\) potentials
• Orthonormal sampling functions
• On algorithms for the summation of certain special functions
• Structured matrix algorithms for inverse scattering on the line
• Spectral Theory of Operators on Hilbert Spaces
• Nonlinear Fourier transform of time-limited and one-sided signals
• The Numerical Solution of Integral Equations of the Second Kind
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Sampling theory approach to prolate spheroidal wavefunctions
• On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation
• Functional Analysis
• Time-evolution-proof Scattering Data for the Focusing and Defocusing Zakharov-Shabat Systems
• Numerical inverse scattering for the focusing and defocusing nonlinear Schrödinger equations
• Bounds for Truncation Error of the Sampling Expansion

This page was built for publication: Nonlinearly bandlimited signals