Singular value decomposition for the truncated Hilbert transform

DOI10.1088/0266-5611/26/11/115011zbMath1228.44008OpenAlexW1999894300WikidataQ124767498 ScholiaQ124767498MaRDI QIDQ3061230

Alexander Katsevich

Publication date: 14 December 2010

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/26/11/115011

zbMATH Keywords

integral equationsingular value decompositionHilbert transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral equations with kernels of Cauchy type (45E05)

Related Items (11)

Lower bounds for the Dyadic Hilbert transform ⋮ Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann-Hilbert approach ⋮ Exponential instability in the fractional Calderón problem ⋮ Diagonalization of the finite Hilbert transform on two adjacent intervals ⋮ Singular Value Decomposition of a Finite Hilbert Transform Defined on Several Intervals and the Interior Problem of Tomography: The Riemann-Hilbert Problem Approach ⋮ On the commutation properties of finite convolution and differential operators. I: Commutation ⋮ On the spectral properties of the Hilbert transform operator on multi-intervals ⋮ A remark on the arcsine distribution and the Hilbert transform ⋮ Asymptotic Analysis of the SVD for the Truncated Hilbert Transform with Overlap ⋮ On Sobolev instability of the interior problem of tomography ⋮ Ill-Posed Problems: From Linear to Nonlinear and Beyond

This page was built for publication: Singular value decomposition for the truncated Hilbert transform