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Item Details
Title:
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THE RADON TRANSFORM
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By: |
Sigurdur Helgason |
Format: |
Paperback |
List price:
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£79.99 |
We currently do not stock this item, please contact the publisher directly for
further information.
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ISBN 10: |
1475714653 |
ISBN 13: |
9781475714654 |
Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
Pub. date: |
9 October, 2013 |
Series: |
Progress in Mathematics 5 |
Pages: |
193 |
Synopsis: |
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. |
Illustrations: |
9 black & white illustrations, biography |
Publication: |
US |
Imprint: |
Springer-Verlag New York Inc. |
Returns: |
Returnable |
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