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The harmonic decomposition reconstruction for the exponential radon transform
Authors:Wang Jin-ping  Du Jin-yuan
Affiliation:(1) School of Mathematics and Statistics, Wuhan University, 430072 Wuhan, Hubei, China;(2) Department of Mathematics, Hubei Normal University, 435002 Huangshi, Hubei, China
Abstract:The exponential Radon transform, a generalization of the Radon transform, is defined and studied as a mapping of function spaces. It is represented in terms of Fourier transform of its domain and range, and this leads to the harmonic decomposition reconstruction. The results are similar results of Tretiak and Metz. Foundation item: Supported by the National Natural Science Foundation of China (No. 19971064), Key Project of Science and Technology of Hubei Province Education Committee. Biography: Wang Jin-ping (1963-), male, Ph.D. candidate, research direction: numberical solution of singular integral equation and integral transformation etc.
Keywords:exponential radon transform  Fourier transform  harmonic decomposition  inversion
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