On reproducing kernel Riesz bases in model spaces

@article{Mengestie2013OnRK,
  title={On reproducing kernel Riesz bases in model spaces},
  author={Tesfa Mengestie},
  journal={International Journal of Mathematical Analysis},
  year={2013},
  volume={7},
  pages={453-460}
}
  • T. Mengestie
  • Published 2013
  • Mathematics
  • International Journal of Mathematical Analysis
Reproducing kernel Riesz bases associated to real points in model subspaces K I = H 2 IH of the Hardy space H have been described in terms of equality of spaces by A. Baranov [1]. We now answer the question of whether the natural analogue of his result with the real points being replaced by sequences of points located in the whole complex plane holds. It turns out that the analogous conditions are indeed sufficient but not in general necessary. A consequence of this is that larger perturbations… 

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