On the exponential Radon transform and its extension to certain functions spaces

We investigate the exponential Radon transform on a certain function space of generalized functions. We establish certain space of generalized functions for the cited transform. The transform that is obtained is well defined. More properties of consistency, convolution, analyticity, continuity, and...

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Bibliographic Details
Main Authors: Al-Omari, Shrideh Khalaf Qasem, Kilicman, Adem
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2014
Online Access:http://psasir.upm.edu.my/id/eprint/34735/1/On%20the%20Exponential%20Radon%20Transform%20and%20Its%20Extension%20to.pdf
Description
Summary:We investigate the exponential Radon transform on a certain function space of generalized functions. We establish certain space of generalized functions for the cited transform. The transform that is obtained is well defined. More properties of consistency, convolution, analyticity, continuity, and sufficient theorems have been established.