Journal of Lie Theory 30 (2020), No. 1, 041--057
Copyright Heldermann Verlag 2020
Mehler–Heine Formula: a Generalization in the Context of Spherical Functions
Rocío Díaz Martín
FaMAF--CIEM (CONICET), Universidad Nacional de Córdoba, 5000 Córdoba, Argentina
rpd0109@famaf.unc.edu.ar
Inés Pacharoni
FaMAF--CIEM (CONICET), Universidad Nacional de Córdoba, 5000 Córdoba, Argentina
pacharon@famaf.unc.edu.ar
Using the notion of group contraction, we obtain the spherical functions of the strong Gelfand pair (M(n), SO(n)) as an appropriate limit of spherical functions of the strong Gelfand pair (SO(n+1), SO(n)) and also of the strong Gelfand pair (SO0(n,1), SO(n)).
Keywords: Group contraction, spherical function, strong Gelfand pair.
MSC: 43A85, 43A90, 47A67.
[ Fulltext-pdf (174 KB)] for subscribers only.