Variations on a theme of Beurling

Details Variations on a theme of Beurling Variations on a theme of Beurling

2010-09-22

arxiv.org/abs/1009.4427v1

Mathematics

Functional Analysis

Scientific paper

Interpretations of the Beurling-Lax-Halmos Theorem on invariant subspaces of
the unilateral shift are explored using the language of Hilbert modules.
Extensions and consequences are considered in both the one and multivariate
cases with an emphasis on the classical Hardy, Bergman and Drury-Arveson
spaces.

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