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arXiv:1807.03904 [math.RT]AbstractReferencesReviewsResources

Mehler-Heine formula: a generalization in the context of spherical functions

Rocío Díaz Martín, Inés Pacharoni

Published 2018-07-10Version 1

In this article, using the notion of group contraction, we obtain the spherical functions of the strong Gelfand pair $(\mathrm{M}(n),\mathrm{SO}(n))$ as an appropriate limit of spherical functions of the strong Gelfand pair $(\mathrm{SO}(n+1),\mathrm{SO}(n))$ and also of the strong Gelfand pair $(\mathrm{SO}_0(n,1),\mathrm{SO}(n))$.

Categories: math.RT
Subjects: 20G05, 43A85, 43A90, 47A67
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