The Radon Transform (Progress in Mathematics)
Edition: 2nd ed. edition
Publisher: Birkhäuser Boston
Published: August 1, 1999
Language: eng
Format: Hardcover
Number of pages: 188
ISBN-13: 9780817641092
Subjects: Differential & Riemannian geometry; Radon transforms; Differential Geometry; Mathematics; Science/Mathematics; Applied; Calculus; Probability & Statistics - General; Mathematics / Applied; Mathematics / Mathematical Analysis; Mathematics : Calculus; Mathematics : Probability & Statistics - General; Geometry - Differential
First sentence: It was proved by J. Radon in 1917 that a differentiable function on R3 can be determined explicitly by means of its integrals over the planes in R3.
Description: "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."--BOOK JACKET.