Journal of Lie Theory

no. 1
Mehler–Heine Formula: a Generalization in the Context of Spherical Functions
Journal of Lie Theory, Volume 30 (2020) no. 1, pp. 41-57
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)).
DOI: 10.5802/jolt.1104
Classification: 43A85, 43A90, 47A67
Keywords: Group contraction, spherical function, strong Gelfand pair 
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     author = {R. D{\'\i}az Mart{\'\i}n and I. 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},
     doi = {10.5802/jolt.1104},
     zbl = {1450.43005},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1104/}
}
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R. Díaz Martín; I. Pacharoni. Mehler–Heine Formula: a Generalization in the Context of Spherical Functions. Journal of Lie Theory, Volume 30 (2020) no. 1, pp. 41-57. doi: 10.5802/jolt.1104

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