Some Noncommutative Matrix Algebras Arising in the Bispectral Problem

I revisit the so called ''bispectral problem'' introduced in a joint paper with Hans Duistermaat a long time ago, allowing now for the differential operators to have matrix coefficients and for the eigenfunctions, and one of the eigenvalues, to be matrix valued too. In the last e...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2014
1. Verfasser: Grünbaum, F.A.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2014
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/146606
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Some Noncommutative Matrix Algebras Arising in the Bispectral Problem / F.A. Grünbaum // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 43 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
_version_ 1862532415138824192
author Grünbaum, F.A.
author_facet Grünbaum, F.A.
citation_txt Some Noncommutative Matrix Algebras Arising in the Bispectral Problem / F.A. Grünbaum // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 43 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description I revisit the so called ''bispectral problem'' introduced in a joint paper with Hans Duistermaat a long time ago, allowing now for the differential operators to have matrix coefficients and for the eigenfunctions, and one of the eigenvalues, to be matrix valued too. In the last example we go beyond this and allow both eigenvalues to be matrix valued.
first_indexed 2025-11-24T04:38:32Z
format Article
fulltext
id nasplib_isofts_kiev_ua-123456789-146606
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-11-24T04:38:32Z
publishDate 2014
publisher Інститут математики НАН України
record_format dspace
spelling Grünbaum, F.A.
2019-02-10T09:56:15Z
2019-02-10T09:56:15Z
2014
Some Noncommutative Matrix Algebras Arising in the Bispectral Problem / F.A. Grünbaum // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 43 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 13N10; 16S32; 35P05
DOI:10.3842/SIGMA.2014.078
https://nasplib.isofts.kiev.ua/handle/123456789/146606
I revisit the so called ''bispectral problem'' introduced in a joint paper with Hans Duistermaat a long time ago, allowing now for the differential operators to have matrix coefficients and for the eigenfunctions, and one of the eigenvalues, to be matrix valued too. In the last example we go beyond this and allow both eigenvalues to be matrix valued.
The author is extremely grateful to referees who did an outstanding job in suggesting improvements
 to an earlier version of this paper.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Some Noncommutative Matrix Algebras Arising in the Bispectral Problem
Article
published earlier
spellingShingle Some Noncommutative Matrix Algebras Arising in the Bispectral Problem
Grünbaum, F.A.
title Some Noncommutative Matrix Algebras Arising in the Bispectral Problem
title_full Some Noncommutative Matrix Algebras Arising in the Bispectral Problem
title_fullStr Some Noncommutative Matrix Algebras Arising in the Bispectral Problem
title_full_unstemmed Some Noncommutative Matrix Algebras Arising in the Bispectral Problem
title_short Some Noncommutative Matrix Algebras Arising in the Bispectral Problem
title_sort some noncommutative matrix algebras arising in the bispectral problem
url https://nasplib.isofts.kiev.ua/handle/123456789/146606
work_keys_str_mv AT grunbaumfa somenoncommutativematrixalgebrasarisinginthebispectralproblem