A Sobolev space analysis of linear regularization methods for ill-posed problems

DOI10.1515/jiip.2001.9.1.59zbMath1005.65055OpenAlexW2022653706MaRDI QIDQ2724860

Alfred K. Louis, Peter Jonas

Publication date: 12 July 2001

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2001.9.1.59

zbMATH Keywords

smoothingRadon transformTikhonov-Phillips regularizationcomputerized tomographygeneralized inverselinear ill-posed problemsregularization methodsSobolev scales

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical solutions to equations with linear operators (65J10) Numerical methods for ill-posed problems for integral equations (65R30) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

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