• Medientyp: Konferenzbericht; E-Artikel
  • Titel: New results on the degree of ill-posedness for integration operators with weights
  • Beteiligte: Hofmann, Bernd [VerfasserIn]; von Wolfersdorf, Lothar [VerfasserIn]
  • Erschienen: Chemnitz: Technische Universität Chemnitz, [2008]
  • Erschienen in: Tagungsband zum Workshop "Stochastische Analysis", 20.09.2006 - 22.09.2006
  • Sprache: Englisch
  • Schlagwörter: Degree of ill-posedness ; Inverses Problem ; Singular value asymptotics ; Eigenwertproblem ; Bessel function ; Compact integral operator
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  • Beschreibung: 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 inthe journal 'Inverse Problems' in 2005 ([5]). Now we can prove that the degree onealso 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 correspondingasymptotics of singular values than the former use of A^*A.