中文摘要：

拉盖尔超群K=[0,+∞)×R为海森堡群上径向函数的基础流形.文章给出了K上的小波包容许性条件,并获得了它的反演公式.最后,利用小波包变换,得到了Radon变换的逆算子公式.

英文摘要：

Let K=[0,+∞)×R be the Laguerre hypergroup,which is the underlying manifold of radial functions on Heisenberg group Hn.In this article,we give the admissible condition of wavelet packet on K,and obtain a reconstructed formula of wavelet packet transform.By using wavelet packet transform,we get an inversion formula of the Radon transform.