Doubly commuting submodules of the Hardy module over polydiscs
Jaydeb Sarkar ; Amol Sasane ; Brett D. Wick
Studia Mathematica, Tome 215 (2013), p. 179-192 / Harvested from The Polish Digital Mathematics Library
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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∞(ⁿ).

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:285700 
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Jaydeb Sarkar; Amol Sasane; Brett D. Wick. Doubly commuting submodules of the Hardy module over polydiscs. Studia Mathematica, Tome 215 (2013) pp. 179-192. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm217-2-5/