Range conditions for the exponential radon transform

Journal d'Analyse Mathematique

Volumn 68, Issue , 1996, Pages 1-13

  Aguilar, Valentina ^a   Ehrenpreis, Leon ^b   Kuchment, Peter ^a  

^a WICHITA STATE UNIVERSITY   (United States)

^b TEMPLE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030457173     PISSN: 00217670     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02790201     Document Type: Article

References (11)

1. L. Ehrenpreis, The Radon Transform, to appear.
2. I. M. Gel'fand, M. I. Graev, and N. Y. Vilenkin, Generalized Functions, Vol. 5: Integral Geometry and Representation Theory, Academic Press, New York, 1966.
3. S. Helgason, The Radon Transform, Birkhäuser, Basel, 1980.
4. K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall, Englewood Cliffs, NJ, 1962.
5. P. Kuchment, On inversion and range characterization of one transform arising in emission tomography, in 75 Years of the Radon Transform, International Press, Boston, 1994, pp. 240-248.
6. P. Kuchment and S. Lvin, Paley-Wiener theorem for exponential Radon transform, Acta Appl. Math. 18 (1990), 251-260.
7. P. Kuchment and S. Lvin, The range of the exponential Radon transform, Soviet Math. Dokl. 42 (1991), no. 1, 183-184.
8. F. Natterer, On the inversion of the attenuated Radon transform, Numer. Math. 32 (1979), 431-438.
9. F. Natterer, The Mathematics of Computerized Tomography, Wiley, New York, 1986.
10. I. V. Ponomaryov, On reconstruction of projection data containing strong displacement distortions in emission gamma-tomograph, in Proceedings of a Conference on Incorrect Problems of Mathematical Physics and Analysis, Novosibirsk, 1992, p. 111.
11. O. Y. Tretiak and C. Metz, The exponential Radon transform, SIAM J. Appl. Math. 39 (1980), 341-354.