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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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