Stable inversion of the Abel integral equation of the first kind by means of orthogonal polynomials

DOI10.1088/0266-5611/26/10/105005zbMath1200.47017OpenAlexW2050230977MaRDI QIDQ3057755

Abderrazek Karoui, Amara Ammari

Publication date: 17 November 2010

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

Full work available at URL: https://doi.org/10.1088/0266-5611/26/10/105005

zbMATH Keywords

regularizationill-posed problemsintegral equations of convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme)

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Linear operators and ill-posed problems, regularization (47A52)

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