An inversion formula of Radon transform on the product Heisenberg group (Q422053)

Let \(H^n_1\) be the \(n-\)direct product of the Heisenberg groups \(H_1\). This paper gives the definitions of the wavelet transform and the Radon transform, then it gives the direct sum decomposition of \(L^2(H^n_1)\) and presents the inversion of the Radon transform on \(H^n_1\) by using inverse wavelet transform. In addition, it characterizes a subspace such that the inversion formula holds in the weak sense.