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The Validity of Beurling Theorems in Polydiscs
1988
Proceedings of the American Mathematical Society
This paper gives necessary and sufficient conditions for an invariant subspace Jt of H2(T2) to be of the form qH2(T2) (q inner) in terms of double commutativity of the shifts. Recent results in [8] follow directly from our work. Relation to the work in [1] is also discussed.
doi:10.2307/2047542
fatcat:d77pifyixbbz7kbdgduw5eool4