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

In\'es Pacharoni; Roc\'io D\'iaz Mart\'in

arxiv: 1807.03904 · v1 · pith:TY4CT7OJnew · submitted 2018-07-10 · 🧮 math.RT

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

Roc\'io D\'iaz Mart\'in , In\'es Pacharoni This is my paper

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keywords mathrmfunctionsgelfandpairsphericalstrongappropriatearticle

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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 $(\mathrm{SO}_0(n,1),\mathrm{SO}(n))$.

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

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