On the zero sets of bounded holomorphic functions in the bidisc
On the zero sets of bounded holomorphic functions in the bidisc
In this work we prove in a constructive way a theorem of Rudin which says that if E is an analytic subset of the bidisc D 2 (with multiplicities) which does not intersect a neighbourhood of the distinguished boundary, then E is the zero set (with multiplicities) of a bounded …