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періодичних видань НАН України
періодичних видань НАН України
Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік
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| dc.contributor.author | Tirao, J.A. | |
| dc.contributor.author | Zurrián, I.N. | |
| dc.date.accessioned | 2019-02-10T10:58:11Z | |
| dc.date.available | 2019-02-10T10:58:11Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 22E45; 33C45; 33C47 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.071 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146627 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | This paper was partially supported by CONICET, PIP 112-200801-01533 and SeCyT-UNC. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
