The Radon Transform

✍ Scribed by Sigurdur Helgason (auth.)

• Publisher: Birkhäuser Boston
• Year: 1980
• Tongue: English
• Leaves: 196
• Series: Progress in Mathematics 5
• Edition: 2nd
• Category: Library

✦ Synopsis

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.

✦ 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

✦ Subjects

Integral Transforms, Operational Calculus; Signal, Image and Speech Processing; Physiological, Cellular and Medical Topics