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Item Details
Title: THE RADON TRANSFORM
By: Sigurdur Helgason
Format: Paperback

List price: £79.99


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ISBN 10: 1475714653
ISBN 13: 9781475714654
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 9 October, 2013
Series: Progress in Mathematics 5
Pages: 193
Synopsis: 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 theo- rems have been added, and the group-theoretic viewpoint emphasized. For example, the integral geometric viewpoint of the Poisson integral for the disk leads to interesting analogies with the X-ray transform in Euclidean 3-space. To preserve the introductory flavor of the book the short and self-contained Chapter Von Schwartz' distributions has been added. Here 5 provides proofs of the needed results about the Riesz potentials while 3-4 develop the tools from Fourier analysis following closely the account in Hormander's books (1963] and [1983]. There is some overlap with my books (1984] and [1994b] which however rely heavily on Lie group theory. The present book is much more elementary. I am indebted to Sine Jensen for a critical reading of parts of the manuscript and to Hilgert and Schlichtkrull for concrete contributions men- tioned at specific places in the text.Finally I thank Jan Wetzel and Bonnie Friedman for their patient and skillful preparation of the manuscript.
Illustrations: 9 black & white illustrations, biography
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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