The Radon transform

Author(s)

• Helgason, Sigurdur

Bibliographic Information

The Radon transform

Sigurdur Helgason

（Progress in mathematics, vol. 5）

Birkhäuser, 1999

2nd ed

• : us

Note

Bibliography: p. [171]-184

Includes index

Description and Table of Contents

Volume

: us ISBN 9780817641092

Description

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.

Table of Contents

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.

Volume

ISBN 9783764341091

Description

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.

Table of Contents

• 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.

by "Nielsen BookData"

• NCID: BA42349499
• ISBN:
  • 0817641092
  • 3764341092
• LCCN: 99029331
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Boston
• Pages/Volumes: xii, 188 p.
• Size: 24 cm
• Classification:
  • LCC : QA649
  • DC21 : 515/.723
• Subject Headings:
  • LCSH : Radon transforms
• Parent Bibliography ID:
  • BA00018010