Publication: Sobolev inner product as a solution of inverse Darboux transformation
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Date
2019
Authors
Cantero, María José
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Acceso abierto / Sarbide irekia
Contribución a congreso / Biltzarrerako ekarpena
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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.
Keywords
Darboux transformation, Jacobi matrices, CMV matrices, Orthogonal polynomials, Sobolev inner product
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