Nevanlinna–Pick Problem for Stieltjes Matrix Functions
Abstract
We consider the Nevanlinna–Pick interpolation problem for Stieltjes matrix functions. We obtain two criteria for the indeterminacy of the Nevanlinna–Pick problem with infinitely many interpolation nodes. In the indeterminate case, we describe the general solution of the Nevanlinna–Pick problem in terms of fractional-linear transformations.
English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 3, pp 446-465.
Citation Example: Dyukarev Yu. M. Nevanlinna–Pick Problem for Stieltjes Matrix Functions // Ukr. Mat. Zh. - 2004. - 56, № 3. - pp. 366-380.
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