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The Radon Transform, Second Edition
| Content Provider | Springer-eBooks |
|---|---|
| Author | Helgason, Sigurdur |
| Copyright Year | 1999 |
| Abstract | 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. |
| File Format | |
| ISBN | 9781475714630 |
| Language | English |
| Publisher | SpringerLink Springer eBooks |
| Access Restriction | Subscribed |
| Subject Keyword | Mathematics Algebra Mathematics, general |
| Content Type | Text |
| Resource Type | Book |
