22 citations · 205 across the 45 of their papers we have counts for
9 papers · 1 filter
Polynomial perturbations of hermitian linear functionals and difference equations
M. J. Cantero, L. Moral, L. Velazquez
This paper is devoted to the study of general (Laurent) polynomial modifications of moment functionals on the unit circle, i.e., associated with hermitian Toeplitz matrices. We pre…
Wall rational functions and Khrushchev's formula for orthogonal rational functions
Olav Njastad, Luis Velazquez
We prove that the Nevalinna-Pick algorithm provides different homeomorphisms between certain topological spaces of measures, analytic functions and sequences of complex numbers. Th…
Spectral methods for orthogonal rational functions
Luis Velazquez
An operator theoretic approach to orthogonal rational functions on the unit circle with poles in its exterior is presented in this paper. This approach is based on the identificati…
Matrix orthogonal polynomials whose derivatives are also orthogonal
M. J. Cantero, L. Moral, L. Velazquez
In this paper we prove some characterizations of the matrix orthogonal polynomials whose derivatives are also orthogonal, which generalize other known ones in the scalar case. In p…
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…
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 $…