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1	New results on the degree of ill-posedness for integration operators with weights Hofmann, Bernd, von Wolfersdorf, Lothar 16 May 2008 (has links) (PDF) We extend our results on the degree of ill-posedness for linear integration opera- tors A with weights mapping in the Hilbert space L^2(0,1), which were published in the journal 'Inverse Problems' in 2005 ([5]). Now we can prove that the degree one also holds for a family of exponential weight functions. In this context, we empha- size that for integration operators with outer weights the use of the operator AA^* is more appropriate for the analysis of eigenvalue problems and the corresponding asymptotics of singular values than the former use of A^*A. Bessel function Compact integral operator Degree of ill-posedness Singular value asymptotics ddc:510 Eigenwertproblem Inverses Problem
2	New results on the degree of ill-posedness for integration operators with weights Hofmann, Bernd, von Wolfersdorf, Lothar 16 May 2008 (has links) We extend our results on the degree of ill-posedness for linear integration opera- tors A with weights mapping in the Hilbert space L^2(0,1), which were published in the journal 'Inverse Problems' in 2005 ([5]). Now we can prove that the degree one also holds for a family of exponential weight functions. In this context, we empha- size that for integration operators with outer weights the use of the operator AA^* is more appropriate for the analysis of eigenvalue problems and the corresponding asymptotics of singular values than the former use of A^*A. info:eu-repo/classification/ddc/510 ddc:510 Eigenwertproblem Inverses Problem Bessel function Compact integral operator Degree of ill-posedness Singular value asymptotics

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New results on the degree of ill-posedness for integration operators with weights

New results on the degree of ill-posedness for integration operators with weights