On the strong divergence of Hilbert transform approximations and a problem of Ul'yanov

DOI10.1016/j.jat.2016.01.002zbMath1342.41031OpenAlexW2288704574MaRDI QIDQ5965178

Holger Boche, Volker Pohl

Publication date: 2 March 2016

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

Full work available at URL: https://doi.org/10.1016/j.jat.2016.01.002

zbMATH Keywords

samplingapproximation methodsHilbert transformadaptivitystrong divergence

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Approximation by arbitrary linear expressions (41A45)

Related Items (2)

Limits of calculating the finite Hilbert transform from discrete samples ⋮ Calculating the spectral factorization and outer functions by sampling-based approximations -- fundamental limitations

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