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# An Inversion Formula of the Radon Transform Transform on the Heisenberg Group

Published:2004-09-01
Printed: Sep 2004
• Jianxun He
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## Abstract

In this paper we give an inversion formula of the Radon transform on the Heisenberg group by using the wavelets defined in [3]. In addition, we characterize a space such that the inversion formula of the Radon transform holds in the weak sense.
 Keywords: wavelet transform, Radon transform, Heisenberg group
 MSC Classifications: 43A85 - Analysis on homogeneous spaces 44A15 - Special transforms (Legendre, Hilbert, etc.)