Variations on a theme of Beurling

Ronald G. Douglas

Variations on a theme of Beurling

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arxiv 1009.4427 v1 pith:Q5E4UDIA submitted 2010-09-22 math.FA math.SP

Variations on a theme of Beurling

Ronald G. Douglas This is my paper

classification math.FA math.SP

keywords bergmanbeurlingbeurling-lax-halmoscasesclassicalconsequencesconsidereddrury-arveson

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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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