TY - JOUR
T1 - The band method and inverse problems for orthogonal matrix functions of Szego-Krein type
AU - Kaashoek, M.A.
AU - Lerer, L.
PY - 2012
Y1 - 2012
N2 - A band method approach for solving inverse problems for certain orthogonal functions is developed. The inverse theorems for Szego-Kreǐn matrix polynomials and for Kreǐn orthogonal entire matrix functions are obtained as corollaries of the band method results. Other examples, including a non-stationary variant of the Szego-Kreǐn theorem, are presented to illustrate the scope of the abstract theorems. © 2012 Royal Dutch Mathematical Society (KWG).
AB - A band method approach for solving inverse problems for certain orthogonal functions is developed. The inverse theorems for Szego-Kreǐn matrix polynomials and for Kreǐn orthogonal entire matrix functions are obtained as corollaries of the band method results. Other examples, including a non-stationary variant of the Szego-Kreǐn theorem, are presented to illustrate the scope of the abstract theorems. © 2012 Royal Dutch Mathematical Society (KWG).
U2 - 10.1016/j.indag.2012.04.007
DO - 10.1016/j.indag.2012.04.007
M3 - Article
SN - 0019-3577
VL - 23
SP - 900
EP - 920
JO - Indagationes Mathematicae
JF - Indagationes Mathematicae
IS - 4
ER -