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The Radon Transform

✍ Scribed by Sigurdur Helgason


Publisher
BirkhΓ€user Boston
Year
1999
Tongue
English
Leaves
196
Series
Progress in Mathematics 5
Edition
2nd
Category
Library

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✦ 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 representationsm 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 in the field since 1980.


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<p>The first edition of this book has been out of print for some time and I have decided to follow the publisher's kind suggestion to prepare a new edition. Many examples with explicit inversion formulas and range theoΒ­ rems have been added, and the group-theoretic viewpoint emphasized. For example,

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