The Radon Transform

Sigurdur Helgason (auth.)9780817641092, 0817641092

The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Solutions to such problems have a wide range of applications, namely to partial differential equations, group representations. X-ray technology, nuclear magnetic resonance scanning, and tomography. This second edition, significantly expanded and updated, presents new material taking into account some of the progress made in the field since 1980.

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Table of contents :
Front Matter….Pages N2-x
The Radon Transform on ℝ n ….Pages 1-75
A Duality in Integral Geometry. Generalized Radon Transforms and Orbital Integrals….Pages 76-92
The Radon Transform on Two-Point Homogeneous Spaces….Pages 93-135
Orbital Integrals and the Wave Operator for Isotropic Lorentz Spaces….Pages 136-166
Back Matter….Pages 167-195