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A constrained nevanlinna-pick interpolation problem for matrix-valued functions.
| Content Provider | CiteSeerX |
|---|---|
| Author | Ball, Joseph A. Bolotnikov, Vladimir Horst, Ter |
| Abstract | Abstract. Recent results of Davidson-Paulsen-Raghupathi-Singh give neces-sary and sufficient conditions for the existence of a solution to the Nevanlinna-Pick interpolation problem on the unit disk with the additional restriction that the interpolant should have the value of its derivative at the origin equal to zero. This concrete mild generalization of the classical problem is prototypi-cal of a number of other generalized Nevanlinna-Pick interpolation problems which have appeared in the literature (for example, on a finitely-connected pla-nar domain or on the polydisk). We extend the results of Davidson-Paulsen-Raghupathi-Singh to the setting where the interpolant is allowed to be matrix-valued and elaborate further on the analogy with the theory of Nevanlinna-Pick interpolation on a finitely-connected planar domain. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Sufficient Condition Finitely-connected Pla-nar Domain Nevanlinna-pick Interpolation Unit Disk Concrete Mild Generalization Generalized Nevanlinna-pick Interpolation Problem Nevanlinna-pick Interpolation Problem Classical Problem Recent Result Finitely-connected Planar Domain Additional Restriction |
| Content Type | Text |
| Resource Type | Article |
