Geodesic
Mehler–Heine Formula: a Generalization in the Context of Spherical Functions
Rocío Díaz Martín1 ; Inés Pacharoni1
1FaMAF--CIEM (CONICET), Universidad Nacional de Córdoba, 5000 Córdoba, Argentina
Journal of Lie Theory, Tome 30 (2020) no. 1, pp. 41-57

Voir la notice de l'article provenant de la source Heldermann Verlag

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)).
Classification : 43A85, 43A90, 47A67
Mots-clés : Group contraction, spherical function, strong Gelfand pair

Rocío Díaz Martín  1   ; Inés Pacharoni  1

1 FaMAF--CIEM (CONICET), Universidad Nacional de Córdoba, 5000 Córdoba, Argentina 
Rocío Díaz Martín; Inés Pacharoni. Mehler–Heine Formula: a Generalization in the Context of Spherical Functions. Journal of Lie Theory, Tome 30 (2020) no. 1, pp. 41-57. http://geodesic.mathdoc.fr/item/JOLT_2020_30_1_a4/
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     author = {Roc{\'\i}o D{\'\i}az Mart{\'\i}n and In\'es Pacharoni},
     title = {Mehler–Heine {Formula:} a {Generalization} in the {Context} of {Spherical} {Functions}},
     journal = {Journal of Lie Theory},
     pages = {41--57},
     year = {2020},
     volume = {30},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2020_30_1_a4/}
}
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