TY - JOUR AU - Yu. M. Dyukarev AU - I. Yu. Serikova PY - 2007/06/25 Y2 - 2024/03/29 TI - Rational matrix functions associated with the Nevanlinna-Pick problem in the class <i>S</i> [<i>a, b</i>] and orthogonal on a compact interval JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 59 IS - 6 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3343 AB - We consider the interpolation Nevanlinna-Pick problem with infinitely many interpolation nodes in the class S[a, b] and rational matrix functions associated with this problem and orthogonal on the segment [a, b]. We obtain a criterion of complete indeterminacy of the Nevanlinna-Pick problem in terms of orthogonal rational matrix functions. ER -