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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2014 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146627 |
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| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Tirao, J.A. Zurrián, I.N. 2019-02-10T10:58:11Z 2019-02-10T10:58:11Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/146627 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. This paper was partially supported by CONICET, PIP 112-200801-01533 and SeCyT-UNC. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere |
| spellingShingle |
Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere Tirao, J.A. Zurrián, I.N. |
| 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 |
| author |
Tirao, J.A. Zurrián, I.N. |
| author_facet |
Tirao, J.A. Zurrián, I.N. |
| publishDate |
2014 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT tiraoja sphericalfunctionsoffundamentalktypesassociatedwiththendimensionalsphere AT zurrianin sphericalfunctionsoffundamentalktypesassociatedwiththendimensionalsphere |
| first_indexed |
2025-12-01T13:28:11Z |
| last_indexed |
2025-12-01T13:28:11Z |
| _version_ |
1850860315910078464 |