Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Tirao, J.A., Zurrián, I.N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146627
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• 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.

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...