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{ "item_title" : "The Radon Transform", "item_author" : [" Sigurdur Helgason "], "item_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. Here5 provides proofs of the needed results about the Riesz potentials while3-4 develop the tools from Fourier analysis following closely the account in Hormander's books (1963] and1983]. There is some overlap with my books (1984] and1994b] 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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/1/47/571/465/1475714653_b.jpg", "price_data" : { "retail_price" : "149.00", "online_price" : "149.00", "our_price" : "149.00", "club_price" : "149.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
The Radon Transform|Sigurdur Helgason

The Radon Transform

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Overview

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.

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Details

  • ISBN-13: 9781475714654
  • ISBN-10: 1475714653
  • Publisher: Springer
  • Publish Date: October 2013
  • Dimensions: 9 x 6 x 0.44 inches
  • Shipping Weight: 0.63 pounds
  • Page Count: 193

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