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Doubly commuting submodules of the Hardy module over polydiscs
Published 21 Feb 2013 in math.FA, math.CV, and math.OA | (1302.5312v3)
Abstract: In this note we establish a vector-valued version of Beurling's Theorem (the Lax-Halmos Theorem) for the polydisc. As an application of the main result, we provide necessary and sufficient conditions for the completion problem in $H\infty(\mathbb{D}n)$.
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