Wandering subspaces and the Beurling type theorem, Ⅲ

摘要

Let H~2(D~2) be the Hardy space over the bidisk. Let {φn(z)}_(n≥0) and {ψ_n(w)}_(n≥0) be sequences of one variable inner functions satisfying some additinal conditions. Associated with them, we have a Rudin type invariant subspace m of H~2(D~2). We study the Beurling type theorem for the fringe operator F_w on M Θ zM.