The Radon Transform (Paperback, 1999 ed.)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Progress in Mathematics, 5
Release date:	October 2013
First published:	1999
Authors:	Sigurdur Helgason
Dimensions:	229 x 152 x 11mm (L x W x T)
Format:	Paperback
Pages:	193
Edition:	1999 ed.
ISBN-13:	978-1-4757-1465-4
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General
LSN:	1-4757-1465-3
Barcode:	9781475714654

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