Keywords
- Symmetric Space
- Convex Body
- Complete Riemannian Manifold
- Geodesic Segment
- Grassmann Manifold
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
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.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0088851
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10285-4
Online ISBN: 978-3-540-38419-9
eBook Packages: Springer Book Archive
