Sigurdur Helgason

(Author)

The Radon Transform (1999)Paperback - 1999, 9 October 2013

The Radon Transform (1999)
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Part of Series
Progress in Mathematics
Print Length
193 pages
Language
English
Publisher
Springer
Date Published
9 Oct 2013
ISBN-10
1475714653
ISBN-13
9781475714654

Description

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.

Product Details

Author:
Sigurdur Helgason
Book Edition:
1999
Book Format:
Paperback
Country of Origin:
NL
Date Published:
9 October 2013
Dimensions:
22.86 x 15.24 x 1.12 cm
ISBN-10:
1475714653
ISBN-13:
9781475714654
Language:
English
Location:
New York, NY
Pages:
193
Publisher:
Weight:
285.76 gm

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