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Field name	Details
Dewey Class	512
Title	The Radon Transform ([EBook]) / by Sigurdur Helgason.
Author	Helgason, Sigurdur, , 1927-
Other name(s)	SpringerLink (Online service)
Edition statement	Second Edition.
Publication	Boston, MA : Springer , 1999.
Physical Details	XIII, 193 pages : 9 illus. : online resource.
Series	Progress in mathematics 0743-1643 ; ; 5
ISBN	9781475714630
Summary Note	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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4757-1463-0
Links to Related Works	Subject References: Algebra . Mathematics . Mathematics, general . Radon transforms . Authors: Helgason, Sigurdur, 1927- . Helgason, Sigurdur, 1927- . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 512 .

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The Radon Transform

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