Cantero, María José2020-06-042020-06-042019https://academica-e.unavarra.es/handle/2454/37054Resumen del trabajo presentado al Congreso de la Red de Polinomios Ortogonales y Teoría de Aproximación. Pamplona, 28-29 de marzo de 2019In this talk we expose a survey of Darboux transformations for Jacobi and CMV matrices, relating them with orthogonal polynomials on the real line, orthogonal polynomials on the unit circle and integrable systems, and also highlighting their similarities and di_x001B_erences. We will show the interest of the above mentioned spurious solutions of inverse Darboux for CMV matrices: they are related to Sobolev type inner products.1 p.application/pdfengDarboux transformationJacobi matricesCMV matricesOrthogonal polynomialsSobolev inner productinfo:eu-repo/semantics/conferenceObjectAcceso abierto / Sarbide irekiainfo:eu-repo/semantics/openAccess