Stability of order and type under perturbation of the spectral measure

  title={Stability of order and type under perturbation of the spectral measure},
  author={A. D. Baranov and Harald Woracek},
  journal={Revista Matem{\'a}tica Iberoamericana},
t is known that the type of a measure is stable under perturbations consisting of exponentially small redistribution of mass and exponentially small additive summands. This fact can be seen as stability of de~Branges chains in the corresponding L2-spaces. 


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  • H. Woracek
  • Mathematics
    Journal d'Analyse Mathématique
  • 2018
We investigate the structure of the set of de Branges spaces of entire functions which are contained in a space L2(μ). Thereby, we follow a perturbation approach. The main result is a growth
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