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The Radon Transform pp 53–81Cite as

A Duality in Integral Geometry. Generalized Radon Transforms and Orbital Integrals

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Part of the book series: Progress in Mathematics ((PM,volume 5))

Abstract

The inversion formulas in Theorems 3.1, 3.5, 3.6 and 6.2, Ch. I suggest the general problem of determining a function on a manifold by means of its integrals over certain submanifolds.

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Bibliography

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Authors and Affiliations

  1. Department of Mathematics, MIT, 02139, Cambridge, MA, USA

    Sigurdur Helgason

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  1. Sigurdur Helgason
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© 1999 Sigurdur Helgason

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Helgason, S. (1999). A Duality in Integral Geometry. Generalized Radon Transforms and Orbital Integrals. In: The Radon Transform. Progress in Mathematics, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1463-0_2

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  • DOI: https://doi.org/10.1007/978-1-4757-1463-0_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1465-4

  • Online ISBN: 978-1-4757-1463-0

  • eBook Packages: Springer Book Archive

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