Sparse approximation of functions using sums of exponentials and AAK theory

DOI10.1016/j.jat.2010.09.005zbMath1213.41011OpenAlexW2061692697MaRDI QIDQ630493

Marcus Carlsson, Maarten V. de Hoop, Fredrik Andersson

Publication date: 17 March 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2010.09.005

Mathematics Subject Classification ID

Approximation by other special function classes (41A30)

Related Items (12)

Spherical Bessel transform via exponential sum approximation of spherical Bessel function ⋮ The generalized operator based Prony method ⋮ On truncated Wiener-Hopf operators and $BMO(\mathbb{Z})$ ⋮ 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 ⋮ Optimal approximation with exponential sums by a maximum likelihood modification of Prony's method ⋮ Computation of adaptive Fourier series by sparse approximation of exponential sums ⋮ Nonlinear approximation of functions in two dimensions by sums of exponential functions ⋮ ESPRIT for Multidimensional General Grids ⋮ On matrix exponential approximations of ruin probabilities for the classic and Brownian perturbed Cramér-Lundberg processes ⋮ Modifications of Prony's method for the recovery and sparse approximation with generalized exponential sums ⋮ \textsc{mxpfit}: a library for finding optimal multi-exponential approximations

Uses Software

• SDPT3

Cites Work

• Solving semidefinite-quadratic-linear programs using SDPT3
• Nonlinear inversion of a band-limited Fourier transform
• On bounded bilinear forms
• Toeplitz and Hankel operators on the Paley-Wiener space
• An \(L^{p}\) analog to AAK theory for \(p\geq 2\)
• s-numbers of Hankel matrices
• Orthogonal systems and convolution operators
• Approximation by exponential sums revisited
• On approximation of functions by exponential sums
• On Completely Continuous Hankel Matrices
• SDPT3 — A Matlab software package for semidefinite programming, Version 1.3
• Semidefinite Programming
• On the Spectra of Bounded, Hermitian, Hankel Matrices
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