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Error bounds for spectral enhancement which are based on variable Hilbert scale inequalities

Hegland, Markus


Spectral enhancement-which aims to undo spectral broadening-leads to integral equations which are ill-posed and require special regularization techniques for their solution. Even when an optimal regularization technique is used, however, the errors in the solution, which originate in data approximation errors, can be substantial and it is important to have good bounds on these errors in order to select appropriate enhancement methods. A discussion of the causes and nature of broadening provides...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: Journal of Integral Equations and Applications
DOI: 10.1216/JIE-2010-22-2-285


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