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Invariant subspaces for the backward shift on Hilbert spaces of analytic functions with regular norm.

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Author

Summary, in English

It is shown that under certain regularity conditions on the norm, the functions in a nontrivial invariant subspace of the backward shift operator have meromorphic pseudocontinuations in the Nevanlinna class of the exterior of the unit disk. In addition, we provide a regularity condition which implies that the subspace itself is contained in the Nevanlinna class of the disc.

Publishing year

2006

Language

English

Pages

1-25

Publication/Series

Contemporary Mathematics

Volume

404

Document type

Journal article

Publisher

American Mathematical Society (AMS)

Topic

  • Mathematics

Status

Published

ISBN/ISSN/Other

  • ISSN: 1098-3627