Nonlinear approximation of functions in two dimensions by sums of exponential functions

DOI10.1016/j.acha.2009.08.009zbMath1196.42033OpenAlexW2009157383MaRDI QIDQ982552

Fredrik Andersson, Marcus Carlsson, Maarten V. de Hoop

Publication date: 7 July 2010

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2009.08.009

zbMATH Keywords

systems of polynomial equationsfrequency estimationHankel operatorsnonlinear approximationsparse representationsProny's method in several variablesAAK theory in several variables

Mathematics Subject Classification ID

Harmonic analysis in several variables (42B99) Nontrigonometric harmonic analysis (42C99)

Related Items (9)

Computation of 2D Fourier transforms and diffraction integrals using Gaussian radial basis functions ⋮ A multivariate generalization of Prony's method ⋮ Regularity and multi-scale discretization of the solution construction of hyperbolic evolution equations with limited smoothness ⋮ Fixed-point algorithms for frequency estimation and structured low rank approximation ⋮ On the structure of positive semi-definite finite rank general domain Hankel and Toeplitz operators in several variables ⋮ Structured low rank decomposition of multivariate Hankel matrices ⋮ Nonlinear approximation of functions in two dimensions by sums of wave packets ⋮ Prony's method under an almost sharp multivariate Ingham inequality ⋮ ESPRIT for Multidimensional General Grids

Cites Work

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• Sparse approximation of functions using sums of exponentials and AAK theory
• A novel algorithm for two-dimensional frequency estimation
• On approximation of functions by exponential sums
• Accurate solution of polynomial equations using Macaulay resultant matrices

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