A new result in the singular value asymptotics of integration operators with weights
DOI10.1216/JIE-2009-21-2-281zbMath1167.45303OpenAlexW2027349255MaRDI QIDQ2389592
Lothar von Wolfersdorf, Bernd Hofmann
Publication date: 17 July 2009
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/jie-2009-21-2-281
compact operatoreigenvalue problemsBessel functionssingular value asymptoticsintegration operatordegree of ill-posednessexponential-type multiplier
Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Integral operators (45P05) Numerical solutions to equations with linear operators (65J10) Numerical methods for ill-posed problems for integral equations (65R30) Eigenvalue problems for integral equations (45C05) Linear operators and ill-posed problems, regularization (47A52)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear integral equations.
- Inverse acoustic and electromagnetic scattering theory.
- Optimal Discretization of Inverse Problems in Hilbert Scales. Regularization and Self-Regularization of Projection Methods
- Two-step regularization methods for linear inverse problems
- On the spectral functions of the string
- Asymptotics of singular values of fractional integral operators
- On the nature of ill-posedness of an inverse problem arising in option pricing
- Some results and a conjecture on the degree of ill-posedness for integration operators with weights
- Analytical and numerical studies on the influence of multiplication operators for the ill-posedness of inverse problems
- Approximate source conditions in Tikhonov–Phillips regularization and consequences for inverse problems with multiplication operators
