95 citations · 892 across the 77 of their papers we have counts for
5 papers · 2 filters
Generalized Sobolev orthogonal polynomials, matrix moment problems and integrable systems
Gerardo Ariznabarreta, Manuel Mañas, Piergiulio Tempesta
We introduce a large class of Sobolev bi-orthogonal polynomial sequences arising from a -factorizable moment matrix and associated with a suitable measure matrix that character…
CMV biorthogonal Laurent polynomials. II: Christoffel formulas for Geronimus-Uvarov perturbations
Gerardo Ariznabarreta, Manuel Mañas, Alfredo Toledano
This paper is a continuation of the recent paper "CMV biorthogonal Laurent polynomials: Christoffel formulas for Christoffel and Geronimus transformations" by the same authors. The…
CMV biorthogonal Laurent polynomials: Christoffel formulas for Christoffel and Geronimus perturbations
Gerardo Ariznabarreta, Manuel Mañas, Alfredo Toledano
Quasidefinite sesquilinear forms for Laurent polynomials in the complex plane and corresponding CMV biorthogonal Laurent polynomial families are studied. Bivariate linear functiona…
Transformation theory and Christoffel formulas for matrix biorthogonal polynomials on the real line
Carlos Álvarez-Fernández, Gerardo Ariznabarreta, Juan C. García-Ardila +2
In this paper transformations for matrix orthogonal polynomials in the real line are studied. The orthogonality is understood in a broad sense, and is given in terms of a nondegene…
Matrix biorthogonal polynomials in the unit circle: Riemann-Hilbert problem and matrix discrete Painleve II system
Giovanni A. Cassatella-Contra, Manuel Mañas
Matrix Szego biorthogonal polynomials for quasi-definite matrices of measures are studied. For matrices of Holder weights a Riemann-Hilbert problem is uniquely solved in terms of t…