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A constrained Nevanlinna-Pick interpolation problem

A constrained Nevanlinna-Pick interpolation problem

We obtain necessary and sufficient conditions for Nevanlinna-Pick interpolation on the unit disk with the additional restriction that all analytic interpolating functions satisfy f ′ (0) = 0.Alternatively, these results can be interpreted as interpolation results for H ∞ (V ), where V is the intersection of the bidisk with …