The Radon transform

著者

• Helgason, Sigurdur

書誌事項

The Radon transform

Sigurdur Helgason

（Progress in mathematics, vol. 5）

Birkhäuser, 1999

2nd ed

• : us

注記

Bibliography: p. [171]-184

Includes index

内容説明・目次

巻冊次

: us ISBN 9780817641092

内容説明

The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Solutions to such problems have a wide range of applications, namely to partial differential equations, group representations, X-ray technology, nuclear magnetic resonance scanning, and tomography. This second edition, significantly expanded and updated, presents new material taking into account some of the progress made in the field since 1980. Aimed at beginning graduate students, this monograph will be useful in the classroom or as a resource for self-study. Readers will find here an accessible introduction to Radon transform theory, an elegant topic in integral geometry.

目次

Preface to the Second Edition.-Preface to the First Edition.-The Radon Transform on Rn.-A Duality in Integral Geometry. Generalized Radon Transforms and Orbital Integrals.-The Radon Transform on Two-Point Homogeneous Spaces.-Orbital Integrals and the Wave Operator for Isotropic Lorentz Spaces.-Fourier Transforms and Distributions. A Rapid Course.-Bibliography.-Notational Conventions.-Subject Index.

巻冊次

ISBN 9783764341091

内容説明

This expanded edition of "The Radon Transform" includes the presentation of new material reflecting progress made in the field since 1980. Randon transform is an important topic in integral geometry and solutions to problems in this area have a wide range of applications.

目次

• Preface to the second edition
• preface to the first edition
• the radon transform on Rn
• a duality in integral geometry - generalized radon transforms and orbital integrals
• the radon transform on two-point homogeneous spaces
• orbital integrals and the wave operator for isotropic Lorentz spaces
• Fourier transforms and distributions - a rapid course
• notational conventions.

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詳細情報

• NII書誌ID(NCID): BA42349499
• ISBN:
  • 0817641092
  • 3764341092
• LCCN: 99029331
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Boston
• ページ数/冊数: xii, 188 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA649
  • DC21 : 515/.723
• 件名:
  • LCSH : Radon transforms
• 親書誌ID:
  • BA00018010