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＜電子ブック＞
The Radon Transform / by Sigurdur Helgason
(Progress in Mathematics. ISSN:2296505X ; 5)

版	1st ed. 1999.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	1999
本文言語	英語
大きさ	XIII, 193 p. 9 illus : online resource
著者標目	*Helgason, Sigurdur author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Mathematics FREE:Algebra FREE:Mathematics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-1-4757-1463-0

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