Inversion formulae for the $\mathrm {\cosh }$-weighted Hilbert transform

DOI10.1090/S0002-9939-2013-11642-4zbMath1279.44003OpenAlexW1508582627MaRDI QIDQ2839355

Marco Bertola, Alexander Tovbis, Alexander Katsevich

Publication date: 5 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11642-4

zbMATH Keywords

inversion formulaFredholm operatorrangefinite Hilbert transformnull-spaceHölder-continuous functionscosh-weighted Hilbert transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (2)

Inversion formula and range conditions for a linear system related with the multi‐interval finite Hilbert transform in L² ⋮ A remark on the arcsine distribution and the Hilbert transform

Cites Work

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• Crofton's function and inversion formulas in real integral geometry
• An explicit inversion formula for the exponential Radon transform using data from \(180^\circ\)
• Image reconstruction from truncated data in single-photon emission computed tomography with uniform attenuation
• The Finite Hilbert Transform in ℒ2

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