sample of publications

• articles 

  • An Extension of the Geronimus Transformation for Orthogonal Matrix Polynomials on the Real Line.  Mediterranean Journal of Mathematics.  13:5009-5032. 2016
  • Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective.  EXPOSITIONES MATHEMATICAE.  34:287-326. 2016
  • A matrix characterization for the D-v-semiclassical and D-v-coherent orthogonal polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  487:242-259. 2015
  • A matrix approach for the Dv-semiclassical and Dv-coherent orthogonal polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  242-259. 2015
  • A matrix approach for the semiclassical and coherent orthogonal polynomials.  APPLIED MATHEMATICS AND COMPUTATION.  256:459-471. 2015
  • Perturbations on the antidiagonals of Hankel matrices.  APPLIED MATHEMATICS AND COMPUTATION.  221:444-452. 2013
  • (1,1) - Coherent pairs on the unit circle.  Abstract and Applied Analysis.  2013:1-9. 2013
  • Zeros of Sobolev orthogonal polynomials on the unit circle.  NUMERICAL ALGORITHMS.  60:669-681. 2012
  • A new linear spectral transformation associated with derivatives of Dirac linear functionals.  JOURNAL OF APPROXIMATION THEORY.  163:1834-1853. 2011
  • Perturbations on the subdiagonals of Toeplitz matrices.  LINEAR ALGEBRA AND ITS APPLICATIONS.  434:1563-1579. 2011
  • Orthogonal Polynomials and Measures on The Unit Circle: The Geronimus Transformation.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  233:1220-1231. 2010
  • Linear Spectral Transformations and Laurent Polynomials.  Mediterranean Journal of Mathematics.  6:273-289. 2009
  • Szegö Transformations and Nth Order Associated Polynomials on the Unit Circle.  COMPUTERS & MATHEMATICS WITH APPLICATIONS.  57:1659-1671. 2009
  • Szegö Transformations and Rational Spectral Transformations for Associated Polynomials.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  233:730-738. 2009
  • Verblunsky Parameters and Linear Spectral Transformations.  Methods and Applications of Analysis.  16:69-86. 2009
  • Spectral Transformations of Measures Supported on the Unit Circle and the Szegö Transformation.  NUMERICAL ALGORITHMS.  49:169-185. 2008

• book chapters 

  • Orthogonal Polynomials and Rational Spectarl Transformations. In: Mathematical Physics and Field Theory: Julio Abad, in Memoriam.  Prensas Universitarias de Zaragoza. 239-248. 2009

• conference contributions 

  • A matrix approach for the semiclassical and coherent orthogonal polynomials 2015
  • A matrix approach for the coherence of orthogonal polynomials 2014

• theses 

  • Transformaciones Espectrales, Funciones de Carathéodory y Polinomios Ortogonales en la Circunferencia Unidad