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...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2014 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146606 |
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| 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. |
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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.
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| 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 |