21 citations · 22 across the 3 of their papers we have counts for
5 papers
Measures on the unit circle and unitary truncations of unitary operators
Maria J. Cantero, Leandro Moral, Luis Velazquez
In this paper we obtain new results about the orthogonality measure of orthogonal polynomials on the unit circle, through the study of unitary truncations of the corresponding unit…
Minimal representations of unitary operators and orthogonal polynomials on the unit circle
M. J. Cantero, L. Moral, L. Velazquez
In this paper we prove that the simplest band representations of unitary operators on a Hilbert space are five-diagonal. Orthogonal polynomials on the unit circle play an essential…
Differential properties of matrix orthogonal polynomials
M. J. Cantero, L. Moral, L. Velazquez
In this paper a general theory of semi-classical matrix orthogonal polynomials is developed. We define the semi-classical linear functionals by means of a distributional equation $…
Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
Maria J. Cantero, Leandro Moral, Luis Velazquez
It is shown that monic orthogonal polynomials on the unit circle are the characteristic polynomials of certain five-diagonal matrices depending on the Schur parameters. This result…
Measures and semi-orthogonal functions on the unit circle
Maria J. Cantero, Maria P. Ferrer, Leandro Moral +1
The zeros of semi-orthogonal functions with respect to a probability measure mu supported on the unit circle can be applied to obtain Szego quadrature formulas. The discrete measur…