Home > Research > Publications & Outputs > Jacobi Flow on SMP Matrices and Killip–Simon Pr...

Research

Links

Text available via DOI:

Keywords

View graph of relations

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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Jacobi Flow on SMP Matrices and Killip–Simon Problem on Two Disjoint Intervals. / Eichinger, B.; Puchhammer, F.; Yuditskii, P.
In: Computational Methods and Function Theory, Vol. 16, No. 1, 01.03.2016, p. 3-41.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Eichinger, B, Puchhammer, F & Yuditskii, P 2016, 'Jacobi Flow on SMP Matrices and Killip–Simon Problem on Two Disjoint Intervals', Computational Methods and Function Theory, vol. 16, no. 1, pp. 3-41. https://doi.org/10.1007/s40315-014-0104-9

APA

Eichinger, B., Puchhammer, F., & Yuditskii, P. (2016). Jacobi Flow on SMP Matrices and Killip–Simon Problem on Two Disjoint Intervals. Computational Methods and Function Theory, 16(1), 3-41. https://doi.org/10.1007/s40315-014-0104-9

Vancouver

Eichinger B, Puchhammer F, Yuditskii P. Jacobi Flow on SMP Matrices and Killip–Simon Problem on Two Disjoint Intervals. Computational Methods and Function Theory. 2016 Mar 1;16(1):3-41. Epub 2014 Dec 17. doi: 10.1007/s40315-014-0104-9

Author

Eichinger, B. ; Puchhammer, F. ; Yuditskii, P. / Jacobi Flow on SMP Matrices and Killip–Simon Problem on Two Disjoint Intervals. In: Computational Methods and Function Theory. 2016 ; Vol. 16, No. 1. pp. 3-41.

Bibtex

@article{1032fdf7bd8f44478a138ecc28d98612,
title = "Jacobi Flow on SMP Matrices and Killip–Simon Problem on Two Disjoint Intervals",
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.",
keywords = "Functional models, Hilbert–Schmidt class, Killip–Simon theorem, Periodic Jacobi and CMV matrices, Strong moment problem",
author = "B. Eichinger and F. Puchhammer and P. Yuditskii",
note = "Publisher Copyright: {\textcopyright} 2014, Springer-Verlag Berlin Heidelberg.",
year = "2016",
month = mar,
day = "1",
doi = "10.1007/s40315-014-0104-9",
language = "English",
volume = "16",
pages = "3--41",
journal = "Computational Methods and Function Theory",
issn = "1617-9447",
publisher = "Springer Verlag",
number = "1",

}

RIS

TY - JOUR

T1 - Jacobi Flow on SMP Matrices and Killip–Simon Problem on Two Disjoint Intervals

AU - Eichinger, B.

AU - Puchhammer, F.

AU - Yuditskii, P.

N1 - Publisher Copyright: © 2014, Springer-Verlag Berlin Heidelberg.

PY - 2016/3/1

Y1 - 2016/3/1

N2 - 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.

AB - 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.

KW - Functional models

KW - Hilbert–Schmidt class

KW - Killip–Simon theorem

KW - Periodic Jacobi and CMV matrices

KW - Strong moment problem

U2 - 10.1007/s40315-014-0104-9

DO - 10.1007/s40315-014-0104-9

M3 - Journal article

AN - SCOPUS:84958522477

VL - 16

SP - 3

EP - 41

JO - Computational Methods and Function Theory

JF - Computational Methods and Function Theory

SN - 1617-9447

IS - 1

ER -