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 |
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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 |