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

@article{Hegland2009ErrorBF, title={Error bounds for spectral enhancement which are based on variable Hilbert scale inequalities}, author={Markus Hegland}, journal={Journal of Integral Equations and Applications}, year={2009}, volume={22}, pages={285-312} }

Spectral enhancement { which aims to undo spectral broadening { leads to integral equations which are ill-posed and require special regular- isation techniques for their solution. Even when an optimal regularisation 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 for these errors in order to select appropriate enhancement methods. A discussion of the causes and nature of broadening… CONTINUE READING

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