
The Radon Transform
Sigurdur Helgason(Author)
Springer (Publisher)
Published on 9. October 2013
Book
Paperback/Softback
XIII, 193 pages
978-1-4757-1465-4 (ISBN)
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.
More details
Series
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
9 s/w Abbildungen
XIII, 193 p. 9 illus.
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 12 mm
Weight
309 gr
ISBN-13
978-1-4757-1465-4 (9781475714654)
DOI
10.1007/978-1-4757-1463-0
Schweitzer Classification
Other editions
Additional editions
Person
Dr. Sigurdur Helgason has authored or co-authered 9 books and 94 papers. He has received numerous honors and awards, including the Steele Prize, awarded by the American Mathematical Society in 1988. He has been a professor at MIT since 1960.