The Christoffel function: Some applications, connections and extensions
Người báo cáo: Jean Bernard Lasserre (LAAS-CNRS University of Toulouse, France)
Date: 10:30-11:30:, 02 October 2025
Venue: Room 301, A5, Institute of Mathematics
Abstract: Even though the Christoffel function (CF) is well-known in approximation theory and orthogonal polynomials, it is only recently that some of its remarkable properties have been shown to be useful in some other applications, like data analysis and mining (e.g. for outlier detection and support inference), and approximation of possibly discontinuous functions with no Gibbs phenomenon. So in this talk we will briefly introduce the CF and describe how some of its main features can be exploited in some applications. Moreover we will also describe connections of the CF with seemingly unrelated fields, like positive polynomials, Pell's equation and equilibrium measure of compact sets, and if time permits, we will introduce some variants with interesting additional properties
