Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients
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Publication:5497022
DOI10.1090/S0025-5718-2014-02860-3zbMath1312.41010OpenAlexW2089552123MaRDI QIDQ5497022
Publication date: 30 January 2015
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-2014-02860-3
rate of convergencedegree of approximationpiecewise analytic functionsreconstruction basisspectral reprojectiontrigonometric approximation,
Trigonometric approximation (42A10) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)
Related Items
System identification in dynamical sampling, Frobenius-Padé approximants of \(|x|\), Frobenius-Padé approximants of piecewise analytic functions. II, Fast and stable approximation of analytic functions from equispaced samples via polynomial frames, Stable extrapolation of analytic functions, A generalized sampling theorem for stable reconstructions in arbitrary bases, Recovering Piecewise Smooth Functions from Nonuniform Fourier Measurements
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