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Inverse Radon Transforms on the Heisenberg Group
Zhong Xiao-Hong 1, He Jian-Xun 2 *
1. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006
2. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006
*Correspondence author
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Funding: NSF（No.10971039）, RFDP（No.200810780002）
Opened online:10 January 2012
Accepted by: none
Citation: Zhong Xiao-Hong , He Jian-Xun.Inverse Radon Transforms on the Heisenberg Group[OL]. [10 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4458918
 
 
In this article, we introduce a kind of unitary operator $U$associated with the involution on the Heisenberg group, invariant closed subspaces are identified with thecharacterization spaces of sub-Laplacian operators. In the senseof vector-valued functions, we study the theory of continuous wavelet transform. Also, we obtain a new inversion formula of Radon transform on the Heisenberg group $mathbf{H}^n$.
Keywords:involution; wavelet transform; Radon transform;Heisenberg group
 
 
 

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