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• W1628227629 abstract "We consider a Jordan arc Gamma in the complex plane mathbb{C} and a regular measure mu whose support is Gamma . We denote by D the upper Hessenberg matrix of the multiplication by z operator with respect to the orthonormal polynomial basis associated with mu . We show in this work that, if the Hessenberg matrix D is uniformly asymptotically Toeplitz, then the symbol of the limit operator is the restriction to the unit circle of the Riemann mapping function phi(z) which maps conformally the exterior of the unit disk onto the exterior of the support of the measure mu . We use this result to show how to approximate the Riemann mapping function for the support of mu from the entries of the Hessenberg matrix D." @default.
• W1628227629 created "2016-06-24" @default.
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• W1628227629 date "2011-07-29" @default.
• W1628227629 modified "2023-09-27" @default.
• W1628227629 title "The Hessenberg matrix and the Riemann mapping" @default.
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