The Radon Transform:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1999
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Progress in Mathematics
5 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 theorems 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 mentioned at specific places in the text. Finally I thank Jan Wetzel and Bonnie Friedman for their patient and skillful preparation of the manuscript |
| Beschreibung: | 1 Online-Ressource (XIII, 193 p) |
| ISBN: | 9781475714630 9781475714654 |
| ISSN: | 0743-1643 |
| DOI: | 10.1007/978-1-4757-1463-0 |
Internformat
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Datensatz im Suchindex
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-1463-0 |
| edition | Second Edition |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781475714630 9781475714654 |
| issn | 0743-1643 |
| language | English |
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| series2 | Progress in Mathematics |
| spelling | Helgason, Sigurdur Verfasser aut The Radon Transform by Sigurdur Helgason Second Edition Boston, MA Springer US 1999 1 Online-Ressource (XIII, 193 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 5 0743-1643 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 theorems 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 mentioned at specific places in the text. Finally I thank Jan Wetzel and Bonnie Friedman for their patient and skillful preparation of the manuscript Mathematics Algebra Mathematics, general Mathematik Radon-Transformierte (DE-588)4195862-7 gnd rswk-swf Radon-Transformation (DE-588)4479199-9 gnd rswk-swf Radon-Transformation (DE-588)4479199-9 s 1\p DE-604 Radon-Transformierte (DE-588)4195862-7 s 2\p DE-604 Progress in Mathematics 5 (DE-604)BV000004120 5 https://doi.org/10.1007/978-1-4757-1463-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Helgason, Sigurdur The Radon Transform Progress in Mathematics Mathematics Algebra Mathematics, general Mathematik Radon-Transformierte (DE-588)4195862-7 gnd Radon-Transformation (DE-588)4479199-9 gnd |
| subject_GND | (DE-588)4195862-7 (DE-588)4479199-9 |
| title | The Radon Transform |
| title_auth | The Radon Transform |
| title_exact_search | The Radon Transform |
| title_full | The Radon Transform by Sigurdur Helgason |
| title_fullStr | The Radon Transform by Sigurdur Helgason |
| title_full_unstemmed | The Radon Transform by Sigurdur Helgason |
| title_short | The Radon Transform |
| title_sort | the radon transform |
| topic | Mathematics Algebra Mathematics, general Mathematik Radon-Transformierte (DE-588)4195862-7 gnd Radon-Transformation (DE-588)4479199-9 gnd |
| topic_facet | Mathematics Algebra Mathematics, general Mathematik Radon-Transformierte Radon-Transformation |
| url | https://doi.org/10.1007/978-1-4757-1463-0 |
| volume_link | (DE-604)BV000004120 |
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