%0 Journal Article
%T Doubly commuting submodules of the Hardy module over polydiscs
%A Jaydeb Sarkar
%A Amol Sasane
%A Brett D. Wick
%J Mathematics
%D 2013
%I arXiv
%X 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 completion problem in $H^\infty(\mathbb{D}^n)$.
%U http://arxiv.org/abs/1302.5312v3