Skip to main content

The X-ray transform on a symmetric space

  • Conference paper
  • First Online:
Global Differential Geometry and Global Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 838))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. Funk, Über eine geometrische Anwendung der Abelschen Integralgleichung, Math. Ann. 77 (1916), 129–135.

    Article  MathSciNet  MATH  Google Scholar 

  2. S. Helgason, Differential operators on homogeneous spaces, Acta Math. 102 (1959), 239–299.

    Article  MathSciNet  MATH  Google Scholar 

  3. _____ A duality in integral geometry; some generalizations of the Radon transform. Bull. Amer. Math. Soc. 70 (1964), 435–446.

    Article  MathSciNet  MATH  Google Scholar 

  4. _____ The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds. Acta Math. 113 (1965), 153–180.

    Article  MathSciNet  MATH  Google Scholar 

  5. _____ Totally geodesic spheres in compact symmetric spaces. Math. Ann. 165 (1966), 309–317.

    Article  MathSciNet  MATH  Google Scholar 

  6. _____ Differential Geometry, Lie Groups and Symmetric Spaces. Academic Press, New York, 1978.

    MATH  Google Scholar 

  7. _____ Support of Radon transforms. Advan. Math. (to appear).

    Google Scholar 

  8. _____ The Radon Transform, Birkhäuser, Boston, (to appear).

    Google Scholar 

  9. L. A. Shepp and J. B. Kruskal, Computerized tomography: The new medical X-ray technology. Amer. Math. Monthly 1978, 420–438.

    Google Scholar 

Download references

Authors

Editor information

Dirk Ferus Wolfgang Kühnel Udo Simon Bernd Wegner

Rights and permissions

Reprints 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

Publish with us

Policies and ethics