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  • © 1999

The Radon Transform

Part of the book series: Progress in Mathematics (PM, volume 5)

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eBook USD 109.00
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  • ISBN: 978-1-4757-1463-0
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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xiii
  2. The Radon Transform on ℝn

    • Sigurdur Helgason
    Pages 1-52
  3. Back Matter

    Pages 171-193

About this book

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.

Keywords

  • group theory
  • Lie
  • lie group
  • proof

Authors and Affiliations

  • Department of Mathematics, MIT, Cambridge, USA

    Sigurdur Helgason

Bibliographic Information

  • Book Title: The Radon Transform

  • Authors: Sigurdur Helgason

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4757-1463-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Sigurdur Helgason 1999

  • Softcover ISBN: 978-1-4757-1465-4

  • eBook ISBN: 978-1-4757-1463-0

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XIII, 193

  • Number of Illustrations: 9 b/w illustrations

  • Topics: Algebra, Mathematics

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-1-4757-1463-0
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 139.99
Price excludes VAT (USA)