Radon transform on spaces of constant curvature
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- by Carlos A. Berenstein, Enrico Casadio Tarabusi and Árpád Kurusa PDF
- Proc. Amer. Math. Soc. 125 (1997), 455-461 Request permission
Abstract:
A correspondence among the totally geodesic Radon transforms—as well as among their duals—on the constant curvature spaces is established, and is used here to obtain various range characterizations.References
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Additional Information
- Carlos A. Berenstein
- Affiliation: Institute for Systems Research, University of Maryland, College Park, Maryland 20742
- Email: carlos@src.umd.edu
- Enrico Casadio Tarabusi
- Affiliation: Dipartimento di Matematica “G. Castelnuovo”, Università di Roma “La Sapienza”, Piazzale A. Moro 2, 00185 Roma, Italy
- Email: casadio@alpha.science.unitn.it
- Árpád Kurusa
- Affiliation: Bolyai Institute, Aradi vértanúk tere 1., 6720 Szeged, Hungary
- Email: kurusa@math.u-szeged.hu
- Received by editor(s): August 8, 1995
- Additional Notes: The first author was partially supported by NSF grants DMS9225043 and EEC9402384. This research was in part accomplished during the second author’s stay at the University of Maryland, whose hospitality is hereby acknowledged. The third author was partially supported by the Hungarian NSF grants T4427, F016226, W075452, and T020066.
- Communicated by: Peter Li
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 455-461
- MSC (1991): Primary 44A12; Secondary 53C65, 51M10
- DOI: https://doi.org/10.1090/S0002-9939-97-03570-3
- MathSciNet review: 1350933