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Jacobi Flow on SMP Matrices and Killip–Simon Problem on Two Disjoint Intervals

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<mark>Journal publication date</mark>1/03/2016
<mark>Journal</mark>Computational Methods and Function Theory
Issue number1
Volume16
Number of pages39
Pages (from-to)3-41
Publication StatusPublished
Early online date17/12/14
<mark>Original language</mark>English

Abstract

We give a free parametric representation for the coefficient sequences of Jacobi matrices whose spectral measures satisfy the Killip–Simon condition with respect to two (arbitrary) disjoint intervals. This parametrization is given by means of the Jacobi flow on SMP matrices, which we introduce here.

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Publisher Copyright: © 2014, Springer-Verlag Berlin Heidelberg.