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Overcompleteness of sequences of reproducing kernels in the model space K\Theta
by
Isabelle Chalendar
Maitre de Conference (Universite Lyon 1)
Coauthors: J. R. Partington (University of Leeds), E. Fricain (Universite Lyon 1)
An infinite sequence (xn)n >= 1 whose terms are pairwise distinct is overcomplete in a Banach space X if every infinite subsequence (xnk)k >= 1 of (xn)n >= 1 satisfies Span {xnk : k >= 1}=X. We give necessary and sufficient conditions for sequences of reproducing kernels (k\Theta (·, \lambdan))n >= 1 to be overcomplete in a given model space K\Theta:=H2 (D)\ominus \ThetaH2 (D) where \Theta is an inner function in H\infty (D) and where (\lambdan)n >= 1 is an infinite sequence of pairwise distinct points of D.
Date received: June 5, 2002
Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caiz-51.