Sobolev inner product as a solution of inverse Darboux transformation
Fecha
2019Autor
Versión
Acceso abierto / Sarbide irekia
Tipo
Contribución a congreso / Biltzarrerako ekarpena
Impacto
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nodoi-noplumx
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Resumen
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 rela ...
[++]
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. [--]
Materias
Darboux transformation,
Jacobi matrices,
CMV matrices,
Orthogonal polynomials,
Sobolev inner product
Notas
Resumen del trabajo presentado al Congreso de la Red de Polinomios Ortogonales y Teoría de Aproximación. Pamplona, 28-29 de marzo de 2019