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

Eichinger, B. and Puchhammer, F. and Yuditskii, P. (2016) Jacobi Flow on SMP Matrices and Killip–Simon Problem on Two Disjoint Intervals. Computational Methods and Function Theory, 16 (1). pp. 3-41. ISSN 1617-9447

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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.

Item Type:

Journal Article

Journal or Publication Title:

Computational Methods and Function Theory

Additional Information:

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2603

Subjects:

?? functional modelshilbert–schmidt classkillip–simon theoremperiodic jacobi and cmv matricesstrong moment problemanalysiscomputational theory and mathematicsapplied mathematics ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

228501

Deposited By:

ep_importer_pure

Deposited On:

26 Mar 2025 14:25

Refereed?:

Yes

Published?:

Published

Last Modified:

27 Mar 2025 02:12

URI:

https://eprints.lancs.ac.uk/id/eprint/228501