21 citations · 40 across the 13 of their papers we have counts for
13 papers
A CMV connection between orthogonal polynomials on the unit circle and the real line
M. J. Cantero, F. Marcellán, L. Moral +1
M. Derevyagin, L. Vinet and A. Zhedanov introduced in Constr. Approx. 36 (2012) 513-535 a new connection between orthogonal polynomials on the unit circle and the real line. It map…
Darboux transformations for CMV matrices
M. J. Cantero, F. Marcellán, L. Moral +1
We develop a theory of Darboux transformations for CMV matrices, canonical representations of the unitary operators. In perfect analogy with their self-adjoint version -- the Darbo…
Linear spectral transformations of Carathéodory functions
M. J. Cantero, L. Moral, L. Velázquez
In this paper we present some recent results concerning linear spectral transformations of Carathéodory functions. More precisely, given two Carathéodory functions related by a lin…
One-dimensional quantum walks with one defect
M. J. Cantero, F. A. Grunbaum, L. Moral +1
The CGMV method allows for the general discussion of localization properties for the states of a one-dimensional quantum walk, both in the case of the integers and in the case of t…
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…
Matrix valued Szego polynomials and quantum random walks
M. J. Cantero, F. A. Grünbaum, L. Moral +1
We consider quantum random walks (QRW) on the integers, a subject that has been considered in the last few years in the framework of quantum computation. We show how the theory of…