The Range of the Radon Transform on a Symmetric Space

  • Sigurdur Helgason
Part of the Progress in Mathematics book series (PM, volume 40)


Let G be a connected semisimple Lie group with finite center, G = KAN an Iwasawa decomposition. Let
$$\rm{X\ =\ {G/}_{K},\ \Xi\ {G/}_{MN}}$$
denote, respectively, the symmetric space X associated with G and the space Ξ of the horocycles in X. (Here M is the centralizer of A in K). Let o be the origin in X and ξo = N · o the origin in Ξ.


Symmetric Space Haar Measure Weak Topology Spherical Function Exponential Type 
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© Birkhäuser Boston, Inc. 1983

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  • Sigurdur Helgason

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