Publication: Sobolev inner product as a solution of inverse Darboux transformation
Date
2019
Authors
Cantero, María José
Director
Publisher
Acceso abierto / Sarbide irekia
Contribución a congreso / Biltzarrerako ekarpena
Project identifier
Abstract
In 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.
Description
Resumen del trabajo presentado al Congreso de la Red de Polinomios Ortogonales y Teoría de Aproximación. Pamplona, 28-29 de marzo de 2019
Keywords
Darboux transformation, Jacobi matrices, CMV matrices, Orthogonal polynomials, Sobolev inner product
Department
Faculty/School
Degree
Doctorate program
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