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References
P. Funk, Über eine geometrische Anwendung der Abelschen Integralgleichung, Math. Ann. 77 (1916), 129–135.
S. Helgason, Differential operators on homogeneous spaces, Acta Math. 102 (1959), 239–299.
_____ A duality in integral geometry; some generalizations of the Radon transform. Bull. Amer. Math. Soc. 70 (1964), 435–446.
_____ The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds. Acta Math. 113 (1965), 153–180.
_____ Totally geodesic spheres in compact symmetric spaces. Math. Ann. 165 (1966), 309–317.
_____ Differential Geometry, Lie Groups and Symmetric Spaces. Academic Press, New York, 1978.
_____ Support of Radon transforms. Advan. Math. (to appear).
_____ The Radon Transform, Birkhäuser, Boston, (to appear).
L. A. Shepp and J. B. Kruskal, Computerized tomography: The new medical X-ray technology. Amer. Math. Monthly 1978, 420–438.
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Helgason, S. (1981). The X-ray transform on a symmetric space. In: Ferus, D., Kühnel, W., Simon, U., Wegner, B. (eds) Global Differential Geometry and Global Analysis. Lecture Notes in Mathematics, vol 838. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088851
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DOI: https://doi.org/10.1007/BFb0088851
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