Integral Geometry and Radon Transforms

by Sigurdur Helgason

In this text, integral geometry deals with Radon's problem of representing a function on a manifold in terms of its integrals over certain submanifolds--hence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion formulas, (iii) support questions, (iv) applications (e.g., to tomography, partial di erential equations and group representations). For the case of the...

• Format: Hardcover
• Language: English
• ISBN: 1441960546
• ISBN13: 9781441960542
• Release Date: November 2010
• Publisher: Springer
• Length: 301 Pages
• Weight: 1.70 lbs.
• Dimensions: 1.0" x 6.4" x 9.4"