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Nevanlinna-Pick interpolation on the bidisk. (English) Zbl 0919.32003
We solve the matrix-valued Nevanlinna-Pick problem in the space of bounded analytic functions on the bidisk, and give a description of all the interpolating functions. We also prove the Toeplitz-corona theorem on the bidisk.

MSC:
32A22 Nevanlinna theory; growth estimates; other inequalities of several complex variables
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