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arXiv · 1302.5312

Doubly commuting submodules of the Hardy module over polydiscs

Jaydeb Sarkar·Amol Sasane·Brett D. Wick
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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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Jaydeb Sarkar, Amol Sasane, Brett D. Wick. 2013-02-21. Doubly commuting submodules of the Hardy module over polydiscs. https://arxiv.org/abs/1302.5312

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