Skip to main content

A Duality in Integral Geometry

  • Chapter
  • First Online:
Integral Geometry and Radon Transforms
  • 2551 Accesses

Abstract

The inversion formulas in Theorems 3.1, 3.7, 3.8 and 6.2, Ch. I suggest the general problem of determining a function on a manifold by means of its integrals over certain submanifolds. This is essentially the title of Radon’s paper.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover 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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sigurdur Helgason .

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Sigurdur Helgason

About this chapter

Cite this chapter

Helgason, S. (2010). A Duality in Integral Geometry. In: Integral Geometry and Radon Transforms. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6055-9_2

Download citation

Publish with us

Policies and ethics