The Validity of Beurling Theorems in Polydiscs

V. Mandrekar
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