CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Three Term Recursion Relation for Spherical Functions Associated to the Complex Hyperbolic Plane
Autor/es:
PACHARONI, I. AND TIRAO JUAN
Revista:
JOURNAL OF LIE THEORY
Editorial:
Heldermann Verlag
Referencias:
Año: 2007 vol. 17 p. 791 - 828
ISSN:
0949-5932
Resumen:
The symmetric space duality between the complex hyperbolic plane H2(C) = SU(2; 1)/U(2) and the complex projective plane P2(C) = SU(3)/U(2) also becomes apparent in the theory of matrix valued spherical functions associated to both spaces. This is stressed in this paper by proving a three term recursion relation for a family of matrix valued functions built up from the spherical functions associated to H2(C).
