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Article Dans Une Revue Journal of Functional Analysis Année : 2007

Sampling and interpolation in large Bergman and Fock spaces.

Résumé

We obtain sampling and interpolation theorems in weighted spaces of analytic functions for radial weights of arbitrary (more rapid than polynomial) growth. We give an application to invariant subspaces of arbitrary index in large weighted Bergman spaces.

Dates et versions

hal-00322883 , version 1 (19-09-2008)

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Alexander Borichev, Rémi Dhuez, Karim Kellay. Sampling and interpolation in large Bergman and Fock spaces.. Journal of Functional Analysis, 2007, 242 (2), pp.563-606. ⟨10.1016/j.jfa.2006.09.002⟩. ⟨hal-00322883⟩
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