Proceedings of the American Mathematical Society

On X-ray transforms for rigid line complexes and integrals over curves in $\mathbb{R}^4$

Author(s): Allan Greenleaf; Andreas Seeger; Stephen Wainger
Journal: Proc. Amer. Math. Soc. 127 (1999), 3533-3545.
MSC (1991): Primary 44A12; Secondary 35S30
Posted: August 5, 1999
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Abstract: Endpoint estimates are proved for model cases of restricted X-ray transforms and singular fractional integral operators in $\mathbb{R}^{4}$ .

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Allan Greenleaf
Affiliation: Department of Mathematics, University of Rochester, Rochester, New York 14627
Email: allan@math.rochester.edu

Andreas Seeger
Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email: seeger@math.wisc.edu

Stephen Wainger
Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email: wainger@math.wisc.edu

DOI: 10.1090/S0002-9939-99-05379-4
PII: S 0002-9939(99)05379-4
Received by editor(s): January 13, 1998
Posted: August 5, 1999
Additional Notes: This research was supported in part by grants from the National Science Foundation.
Communicated by: Christopher D. Sogge
Copyright of article: Copyright 1999, American Mathematical Society

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