Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
n this paper, we describe the irreducible spherical functions of fundamental K-types associated with the pair (G,K)=(SO(n+1),SO(n)) in terms of matrix hypergeometric functions. The output of this description is that the irreducible spherical functions of the same K-fundamental type are encoded in ne...
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| Дата: | 2014 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146627 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere / J.A. Tirao, I.N. Zurrián // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 25 назв. — англ. |
Репозитарії
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irk-123456789-1466272019-02-11T01:24:45Z Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere Tirao, J.A. Zurrián, I.N. n this paper, we describe the irreducible spherical functions of fundamental K-types associated with the pair (G,K)=(SO(n+1),SO(n)) in terms of matrix hypergeometric functions. The output of this description is that the irreducible spherical functions of the same K-fundamental type are encoded in new examples of classical sequences of matrix-valued orthogonal polynomials, of size 2 and 3, with respect to a matrix-weight W supported on [0,1]. Moreover, we show that W has a second order symmetric hypergeometric operator D. 2014 Article Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere / J.A. Tirao, I.N. Zurrián // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 25 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 22E45; 33C45; 33C47 DOI:10.3842/SIGMA.2014.071 http://dspace.nbuv.gov.ua/handle/123456789/146627 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
n this paper, we describe the irreducible spherical functions of fundamental K-types associated with the pair (G,K)=(SO(n+1),SO(n)) in terms of matrix hypergeometric functions. The output of this description is that the irreducible spherical functions of the same K-fundamental type are encoded in new examples of classical sequences of matrix-valued orthogonal polynomials, of size 2 and 3, with respect to a matrix-weight W supported on [0,1]. Moreover, we show that W has a second order symmetric hypergeometric operator D. |
| format |
Article |
| author |
Tirao, J.A. Zurrián, I.N. |
| spellingShingle |
Tirao, J.A. Zurrián, I.N. Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Tirao, J.A. Zurrián, I.N. |
| author_sort |
Tirao, J.A. |
| title |
Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere |
| title_short |
Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere |
| title_full |
Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere |
| title_fullStr |
Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere |
| title_full_unstemmed |
Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere |
| title_sort |
spherical functions of fundamental k-types associated with the n-dimensional sphere |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146627 |
| citation_txt |
Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere / J.A. Tirao, I.N. Zurrián // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 25 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:25:15Z |
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2023-05-20T17:25:15Z |
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