Nevanlinna–Pick Problem for Stieltjes Matrix Functions

  • Yu. M. Dyukarev

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.
Published
25.03.2004
How to Cite
DyukarevY. M. “Nevanlinna–Pick Problem for Stieltjes Matrix Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 3, Mar. 2004, pp. 366-80, https://umj.imath.kiev.ua/index.php/umj/article/view/3760.
Section
Research articles