The Radon Transforms on the Generalized Heisenberg Group
ISRN Mathematical AnalysisPublished 2 January 2014Open access
Tianwu Liu, Jianxun He
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Abstract
Let Hna be the generalized Heisenberg group. In this paper, we study the inversion of the Radon transforms on Hna. Several kinds of inversion Radon transform formulas are established. One is obtained from the Euclidean Fourier transform; the other is derived from the differential operator with respect to the center variable t. Also by using sub-Laplacian and generalized sub-Laplacian we deduce an inversion formula of the Radon transform on Hna.
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Computer ScienceMathematicsMedicine
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