Sarkar, Jaydeb, Sasane, Amol 
ORCID: 0000-0001-5566-9877 and Wick, Brett D.
(2013)
Doubly commuting submodules of the Hardy module over polydiscs.
Studia Mathematica, 217 (2).
pp. 179-192.
ISSN 0039-3223
Identification Number: 10.4064/sm217-2-5
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 ∞ (D n ) .
| Item Type: | Article |
|---|---|
| Official URL: | http://journals.impan.gov.pl/sm/ |
| Additional Information: | © 2013 The Authors |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 20 Nov 2013 10:16 |
| Last Modified: | 01 Oct 2024 03:40 |
| URI: | http://eprints.lse.ac.uk/id/eprint/54072 |
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