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

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.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:ch1-200800545
Date16 May 2008
CreatorsHofmann, Bernd, von Wolfersdorf, Lothar
ContributorsTU Chemnitz, Fakultät für Mathematik
PublisherUniversitätsbibliothek Chemnitz
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:conferenceObject
Formatapplication/pdf, text/plain, application/zip
Relationdcterms:isPartOfhttp://nbn-resolving.de/urn:nbn:de:bsz:ch1-200800505

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