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From Toeplitz Eigenvalues through Green's Kernels to Higher-Order Wirtinger-Sobolev Inequalities | | A. Boettcher
; H. Widom
; | | Date: |
14 Dec 2004 | | Subject: | Functional Analysis MSC-class: 47B35 | math.FA | | Abstract: | The 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. | | Source: | arXiv, math.FA/0412269 | | Services: | Forum | Review | PDF | Favorites | |
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