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• W2041457725 abstract "Let ℋ N =(s n+m),0≤n,m≤N, denote the Hankel matrix of moments of a positive measure with moments of any order. We study the large N behavior of the smallest eigenvalue λ N of ℋ N . It is proven that λ N has exponential decay to zero for any measure with compact support. For general determinate moment problems the decay to 0 of λ N can be arbitrarily slow or arbitrarily fast in a sense made precise below. In the indeterminate case, where λ N is known to be bounded below by a strictly positive constant, we prove that the limit of the nth smallest eigenvalue of ℋ N for N→∞ tends rapidly to infinity with n. The special case of the Stieltjes–Wigert polynomials is discussed." @default.
• W2041457725 created "2016-06-24" @default.
• W2041457725 creator A5010485530 @default.
• W2041457725 creator A5059260839 @default.
• W2041457725 date "2010-07-16" @default.
• W2041457725 modified "2023-09-29" @default.
• W2041457725 title "The Smallest Eigenvalue of Hankel Matrices" @default.
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• W2041457725 doi "https://doi.org/10.1007/s00365-010-9109-4" @default.
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