On the exponential Radon transform and its extension to certain functions spaces
type: Item
instance of: scholarly article
title: On the exponential Radon transform and its extension to certain functions spaces
zbMATH Open document ID: 1474.44003
DOI: 10.1155/2014/612391
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 44A12
Mathematics Subject Classification ID: 46F12
zbMATH DE Number: 7022723
Wikidata QID: Q59039954
author: S. K. Q. Al-Omari
author: Adem Kilicman
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/612391
OpenAlex ID: W1965631328
cites work: Q3916194
cites work: The Radon Transform of Boehmians
cites work: Generalized Radon transform
cites work: Uniform asymptotic expansions at a caustic
cites work: Q3357669
cites work: A Characterization of Fourier and Radon Transforms on Euclidean Space
cites work: Continuity of the Radon transform and its inverse on Euclidean space
cites work: The discrete Radon transform and its approximate inversion via linear programming
cites work: Fast numerical inversion of the attenuated Radon transform with full and partial measurements
cites work: A new exact inversion method for exponential Radon transform using the harmonic analysis of the Euclidean motion group
cites work: The Exponential Radon Transform
cites work: Hartley transforms on a certain space of generalized functions
cites work: Note on Boehmians for class of optical Fresnel wavelet transforms
cites work: On the generalized Hartley-Hilbert and Fourier-Hilbert transforms
cites work: The Support of Mikusinski Operators
cites work: On diffraction Fresnel transforms for Boehmians
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description: scientific article; zbMATH DE number 7022723