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

  title={Error bounds for spectral enhancement which are based on variable Hilbert scale inequalities},
  author={Markus Hegland},
  journal={Journal of Integral Equations and Applications},
  • Markus Hegland
  • Published 2009
  • Mathematics
  • Journal of Integral Equations and Applications
  • 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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