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Finite gap Jacobi matrices : An announcement

Christiansen, Jacob S. LU ; Simon, Barry and Zinchenko, Maxim (2009) In Journal of Computational and Applied Mathematics 233(3). p.652-662
Abstract

We consider Jacobi matrices whose essential spectrum is a finite union of closed intervals. We focus on Szego{double acute}'s theorem, Jost solutions, and Szego{double acute} asymptotics for this situation. This announcement describes talks the authors gave at OPSFA 2007.

Please use this url to cite or link to this publication:
author
; and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Finite gap Jacobi matrices, Isospectral torus, Jost function, Szego{double acute} asymptotics, Szego{double acute}'s theorem
in
Journal of Computational and Applied Mathematics
volume
233
issue
3
pages
11 pages
publisher
Elsevier
external identifiers
  • scopus:69849090811
ISSN
0377-0427
DOI
10.1016/j.cam.2009.02.081
language
English
LU publication?
no
id
1bda6d80-fa75-48c0-9263-3b85a0460feb
date added to LUP
2025-07-11 11:51:21
date last changed
2025-10-14 12:37:35
@article{1bda6d80-fa75-48c0-9263-3b85a0460feb,
  abstract     = {{<p>We consider Jacobi matrices whose essential spectrum is a finite union of closed intervals. We focus on Szego{double acute}'s theorem, Jost solutions, and Szego{double acute} asymptotics for this situation. This announcement describes talks the authors gave at OPSFA 2007.</p>}},
  author       = {{Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim}},
  issn         = {{0377-0427}},
  keywords     = {{Finite gap Jacobi matrices; Isospectral torus; Jost function; Szego{double acute} asymptotics; Szego{double acute}'s theorem}},
  language     = {{eng}},
  month        = {{12}},
  number       = {{3}},
  pages        = {{652--662}},
  publisher    = {{Elsevier}},
  series       = {{Journal of Computational and Applied Mathematics}},
  title        = {{Finite gap Jacobi matrices : An announcement}},
  url          = {{http://dx.doi.org/10.1016/j.cam.2009.02.081}},
  doi          = {{10.1016/j.cam.2009.02.081}},
  volume       = {{233}},
  year         = {{2009}},
}