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Hilbert spaces of analytic functions, Montréal : Canada (2008)
Regularity on the boundary in spaces of holomorphic functions on the unit disk
Emmanuel Fricain 1, Andreas Hartmann 2
(2008-12)

We review some results on regularity on the boundary in spaces of analytic functions on the unit disk connected with backward shift invariant subspaces in $H^p$.
1:  Institut Camille Jordan (ICJ)
CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon
2:  Institut de Mathématiques de Bordeaux (IMB)
CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
Mathematics/Complex Variables
analytic continuation – backward shift – de Branges-Rovnyak spaces – Carleson embedding – invariant subspace – Muckenhoupt condition – one component inner functions – reproducing kernels – rigid functions – spectrum – Toeplitz operators
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