Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
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| Creator |
Tirao, J.A.
Zurrián, I.N. |
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| 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.
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| Date |
2019-02-10T10:58:11Z
2019-02-10T10:58:11Z 2014 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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