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arXiv · 1608.05500

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

Jingzhe Xu
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Abstract

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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Jingzhe Xu. 2016-08-19. The bounded spherical functions on the Cartan Motion group and Generalizations for the eigenspaces of the Laplacian on Rn. https://arxiv.org/abs/1608.05500

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