Doubly commuting submodules of the Hardy module over polydiscs

Jaydeb Sarkar; Amol Sasane; Brett D. Wick

doi:10.4064/sm217-2-5

Doubly commuting submodules of the Hardy module over polydiscs

Jaydeb Sarkar
, Amol Sasane
, Brett D. Wick

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

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 "weak" completion problem in H∞ (Dⁿ).

Original language	English
Pages (from-to)	179-192
Number of pages	14
Journal	Studia Mathematica
Volume	217
Issue number	2
DOIs	https://doi.org/10.4064/sm217-2-5
State	Published - 2013

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Doubly commuting submodules of the Hardy module over polydiscs

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