Nonlinear inversion of a band-limited Fourier transform
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Publication:734332
DOI10.1016/j.acha.2009.04.003zbMath1202.42052OpenAlexW2058342765MaRDI QIDQ734332
Publication date: 20 October 2009
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: http://amath.colorado.edu/pub/wavelets/papers/BEY-MON-2009net.pdf
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)
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Reconstruction from the Fourier transform on the ball via prolate spheroidal wave functions ⋮ Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients ⋮ Pole recovery from noisy data on imaginary axis ⋮ Analytic continuation from limited noisy Matsubara data ⋮ ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application ⋮ Sparse approximation of functions using sums of exponentials and AAK theory ⋮ On computing distributions of products of non-negative independent random variables ⋮ Hölder-logarithmic stability in Fourier synthesis ⋮ Near optimal rational approximations of large data sets ⋮ Approximation by exponential sums revisited ⋮ Accuracy of reconstruction of spike-trains with two near-colliding nodes ⋮ Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions ⋮ Numerical reconstruction from the Fourier transform on the ball using prolate spheroidal wave functions ⋮ Efficient representation and accurate evaluation of oscillatory integrals and functions
Cites Work
- Unnamed Item
- Robust reprojection methods for the resolution of the Gibbs phenomenon
- Detection of edges in spectral data
- Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information
- On generalized Gaussian quadratures for exponentials and their applications
- On the detection of singularities of a periodic function
- On approximation of functions by exponential sums
- Polynomial operators for spectral approximation of piecewise analytic functions
- Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems
- On One-Sided Filters for Spectral Fourier Approximations of Discontinuous Functions
- On the Gibbs Phenomenon and Its Resolution
- Accurate Reconstructions of Functions of Finite Regularity from Truncated Fourier Series Expansions
- Filters, mollifiers and the computation of the Gibbs phenomenon
- A hybrid approach to spectral reconstruction of piecewise smooth functions
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