Abstract
A necessary and sufficient condition is described for the existence of a function ϕ which is holomorphic and bounded by 1 in a neighborhood of the closed bidisc (D2)-, and which maps n specified points in part D2, the topological boundary of D2, to n specified points in D. Such an interpolating function exisits if and only it a bounded holomorphic interpolating function exists if and only it a bounded holomorphic interpolating function exists separaately on D2 and on each analytic disc in ∂D2. The proof uses a limit of Agler's matirx condition for interpolating interior points of D2.
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