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Doubly commuting submodules of the Hardy module over polydiscs

Sarkar, Jaydeb, Sasane, Amol and Wick, Brett D. (2013) Doubly commuting submodules of the Hardy module over polydiscs. Studia Mathematica, 217 (2). pp. 179-192. ISSN 0039-3223

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Identification Number: 10.4064/sm217-2-5


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 ∞ (D n ) .

Item Type: Article
Official URL:
Additional Information: © 2013 The Authors
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Sets: Departments > Mathematics
Date Deposited: 20 Nov 2013 10:16
Last Modified: 20 Aug 2021 01:56

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