Publication:
Orthogonality and bispectrality

Date

2019

Authors

Durán Guardeño, Antonio

Director

Publisher

Acceso abierto / Sarbide irekia
Contribución a congreso / Biltzarrerako ekarpena

Project identifier

Abstract

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 (differential, difference, q-difference, etc.) and their orders, the bispectrality characterizes the most important families of orthogonal polynomials, from the classical, classical discrete or q -classical polynomials, to the Krall and exceptional polynomials. In my opinion, one of the most interesting (and difficult) problems in relation to orthogonality and bispectrality is the characterization of the two algebras associated with each family of bispectral polynomials. In this talk I will review the state of the art about this problem.

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

Bispectrality, Orthogonal polynomials

Department

Faculty/School

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Doctorate program

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