The Radon Transforms on the Generalized Heisenberg Group

descriptionPublicationkeyboard_double_arrow_right Article 02 Jan 2014 English Publisher:WileyJournal:ISRN Mathematical Analysis, volume 2,014, pages 1-7 (eissn: 2090-4665,

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Authors: Tianwu Liu; Jianxun He;

doi: 10.1155/2014/490601

The Radon Transforms on the Generalized Heisenberg Group

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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.

Related Organizations

Guangzhou University
China (People's Republic of)

Keywords

inversion formula, Other transforms and operators of Fourier type, Fourier transform, generalized Heisenberg group, Radon transform

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