TY - JOUR
AU - Yu. M. Dyukarev
AU - I. Yu. Serikova
PY - 2007/06/25
Y2 - 2024/08/06
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 - Ukrainsâ€™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 -