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arxiv: 1608.05500 · v1 · submitted 2016-08-19 · 🧮 math.RT

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The bounded spherical functions on the Cartan Motion group and Generalizations for the eigenspaces of the Laplacian on Rn

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keywords cartangroupmotionboundedcasefunctionslaplacianspherical
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The bounded spherical functions are determined for a real Cartan Motion group which is a generalization for the case when the Cartan Motion group is complex written by Helgason Sigurdur . Also, I will do a further step of the Laplacian on R n . I consider the case when K is transitive on the spheres about 0 in Rn ,n > 1

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