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

Jacobi Flow on SMP Matrices and Killip–Simon Problem on Two Disjoint Intervals 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

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

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References (25)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-014-0104-9
Publisher site
See Article on Publisher Site

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.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Dec 17, 2014

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