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9 - Transforms of Christoffel–Darboux Kernels

from Part Three - Complementary Topics

Published online by Cambridge University Press:  31 March 2022

Jean Bernard Lasserre
Affiliation:
LAAS-CNRS, Toulouse
Edouard Pauwels
Affiliation:
Institut de Recherche en Informatique, Toulouse
Mihai Putinar
Affiliation:
University of California, Santa Barbara
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Summary

The stability of the Christoffel-Darboux kernel under small perturbations of the generating measure is established via precise quantitative bounds. Trace-class perturbations of the Hessenberg matrix attached to a 2D measure are linked to the asymptotic invariance of the Christoffel function, in an exact separation algorithm of outliers from clouds formed by bounded point evaluations for complex analytic functions.

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Publisher: Cambridge University Press
Print publication year: 2022

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