Abstract
The solutions of the Nevanlinna-Pick interpolation problem for generalized Stieltjes matrix functions are parametrized via a fractional linear transformation over a subset of the class of classical Stieltjes functions. The fractional linear transformation of some of these functions may have a pole in one or more of the interpolation points, hence not all Stieltjes functions can serve as a parameter. The set of excluded parameters is characterized in terms of the two related Pick matrices.
| Original language | English |
|---|---|
| Pages (from-to) | 379 - 408 |
| Number of pages | 30 |
| Journal | Integral equations and operator theory |
| Volume | 30 |
| Issue number | 4 |
| Publication status | Published - Apr-1998 |