Matrix Generalizations of M. G. Krein Theorems on Orthogonal Polynomials
Israel Gohberg, L. Lerer · Operator theory · 1988
The results of M.G. Krein regarding polynomials that are orthogonal on the unit circle with respect to a sign alternating weight function, are generalized to the case of matrix polynomials. These results are concerned with the distribution of the zeroes of the orthogonal polynomials and with the inverse problem of reconstructing the weight function from a given polynomial. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.