5 citations · 5 across the 1 of their papers we have counts for
2 papers
math.CA2015★ 5 cited
Generalized Hurwitz matrices, generalized Euclidean algorithm, and forbidden sectors of the complex plane
Olga Holtz, Sergey Khrushchev, Olga Kushel
Given a polynomial \[ f(x)=a_0x^n+a_1x^{n-1}+\cdots +a_n \] with positive coefficients , and a positive integer , we define a(n infinite) generalized Hurwitz matrix $…
math.CA2011
Szegő's theorem for matrix orthogonal polynomials
Maxim Derevyagin, Olga Holtz, Sergey Khrushchev +1
We extend some classical theorems in the theory of orthogonal polynomials on the unit circle to the matrix case. In particular, we prove a matrix analogue of Szegő's theorem. As a…