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arXiv · 1812.08963

Spherical inversion for a small $K$-type on the split real Lie group of type $G_2$

Hiroshi Oda·Nobukazu Shimeno
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Abstract

We give an explicit formula for the Harish-Chandra $c$-function for a small $K$-type on a split real Lie group of type $G_2$. As an application we give an explicit formula for spherical inversion for this small $K$-type.

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BibTeXRIS

Hiroshi Oda, Nobukazu Shimeno. 2018-12-21. Spherical inversion for a small $K$-type on the split real Lie group of type $G_2$. https://arxiv.org/abs/1812.08963

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