Description

Book Synopsis

This comprehensive introduction for students and researchers explores Radon transforms and related operators when the basic manifolds are the real Euclidean space, the unit sphere, and the real hyperbolic space. Applications include analysis, integral and convex geometry, and medical imaging. Open problems and recent results are also presented.

Table of Contents

1. Preliminaries; 2. Fractional integration: functions of one variable; 3. Riesz potentials; 4. The Radon transform on Rn; 5. Operators of integral geometry on the unit sphere; 6. Operators of integral geometry in the hyperbolic space; 7. Spherical mean Radon transforms.

Introduction to Radon Transforms

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    A Hardback by Boris Rubin

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      Book details

      Publisher Cambridge University Press
      Published 12 November 2015
      ISBN-13 9780521854597
      978-0521854597
      ISBN-10 0521854598
      Also in:
      Functional analysis and transforms

      Description

      Book Synopsis

      This comprehensive introduction for students and researchers explores Radon transforms and related operators when the basic manifolds are the real Euclidean space, the unit sphere, and the real hyperbolic space. Applications include analysis, integral and convex geometry, and medical imaging. Open problems and recent results are also presented.

      Table of Contents

      1. Preliminaries; 2. Fractional integration: functions of one variable; 3. Riesz potentials; 4. The Radon transform on Rn; 5. Operators of integral geometry on the unit sphere; 6. Operators of integral geometry in the hyperbolic space; 7. Spherical mean Radon transforms.

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