From Toeplitz Eigenvalues through Green's Kernels to Higher-Order Wirtinger-Sobolev Inequalities

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dc.creatorBoettcher, A.
dc.creatorWidom, H.
dc.date2004-12-14
dc.date.accessioned2026-07-07T05:15:16Z
dc.date.available2026-07-07T05:15:16Z
dc.descriptionThe paper is concerned with a sequence of constants which appear in several problems. These problems include the minimal eigenvalue of certain positive definite Toeplitz matrices, the minimal eigenvalue of some higher-order ordinary differential operators, the norm of the Green kernels of these operators, the best constant in a Wirtinger-Sobolev inequality, and the conditioning of a special least squares problem. The main result of the paper gives the asymptotics of this sequence.
dc.description14 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0412269
dc.identifierhttp://arxiv.org/abs/math/0412269
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73577
dc.subjectFunctional Analysis
dc.subject47B35
dc.titleFrom Toeplitz Eigenvalues through Green's Kernels to Higher-Order Wirtinger-Sobolev Inequalities
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