Smallest and largest generalized eigenvalues of large moment matrices and some applications

DOI10.1016/j.jmaa.2022.126959OpenAlexW4221162374MaRDI QIDQ2684745

Raquel Gonzalo, Carmen Escribano, Emilio Torrano

Publication date: 17 February 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.15453

zbMATH Keywords

measuresorthogonal polynomialssmallest eigenvalueapproximation by polynomialsHermitian moment problem

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) Miscellaneous topics of analysis in the complex plane (30Exx) Integral transforms, operational calculus (44Axx)

Cites Work

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• Small eigenvalues of large Hermitian moment matrices
• The smallest eigenvalue of Hankel matrices
• A new class of polynomially convex sets
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• Exponentially bounded positive definite functions
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• Boundedness of the shift operator related to positive definite forms: An application to moment problems
• On the order of indeterminate moment problems
• A fixed point theorem for moment matrices of self-similar measures
• Small eigenvalues of large Hankel matrices: The indeterminate case
• The smallest eigenvalue of large Hankel matrices associated with a singularly perturbed Gaussian weight
• A dichotomy result about Hessenberg matrices associated with measures in the unit circle
• Approximation in the mean by polynomials

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