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Sobolev inner product as a solution of inverse Darboux transformation
(2019)
info:eu-repo/semantics/conferenceObject,
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 ...
Orthogonality and bispectrality
(2019)
info:eu-repo/semantics/conferenceObject,
The concept of bispectrality (in short, a function in two variables that is an eigenfunction for an operator in each variable) is especially interesting for orthogonal polynomials. Indeed, depending on the type of operators ...