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The totally geodesic Radon transform on the Lorentz space of curvature $-1$
Árpád Kurusa
Source: Duke Math. J. Volume 86, Number 3
(1997), 565-583.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077242850
Mathematical Reviews number (MathSciNet): MR1432309
Zentralblatt MATH identifier: 0872.44003
Digital Object Identifier: doi:10.1215/S0012-7094-97-08618-X
References
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Digital Object Identifier: doi:10.1063/1.523592
[2] I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York, 1980.
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[5] S. Helgason, The Radon Transform, Progr. Math., vol. 5, Birkhäuser, Boston, 1980.
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[6] Á. Kurusa, Orbital integrals on the Lorentz space of curvature–1, preprint.
[7] Á. Kurusa, limited domain Radon transform, preprint.
[8] Á. Kurusa, The invertibility of the Radon transform on abstract rotational manifolds of real type, Math. Scand. 70 (1992), no. 1, 112–126.
Mathematical Reviews (MathSciNet): MR93g:44009
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[9] E. T. Quinto, Singular value decompositions and inversion methods for the exterior Radon transform and a spherical transform, J. Math. Anal. Appl. 95 (1983), no. 2, 437–448.
Mathematical Reviews (MathSciNet): MR86b:44006
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Digital Object Identifier: doi:10.1016/0022-247X(83)90118-X
[10] R. Seeley, Spherical harmonics, Amer. Math. Monthly 73 (1966), no. 4, part II, 115–121.
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Digital Object Identifier: doi:10.2307/2313760
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