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The Universality of the Radon Transform$
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The Universality of the Radon Transform

Leon Ehrenpreis

Print publication date: 2003

Print ISBN-13: 9780198509783

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198509783.001.0001

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THE NONLINEAR RADON AND FOURIER TRANSFORMS

THE NONLINEAR RADON AND FOURIER TRANSFORMS

Chapter:
(p.299) 5 THE NONLINEAR RADON AND FOURIER TRANSFORMS
Source:
The Universality of the Radon Transform
Author(s):

Leon Ehrenpreis

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198509783.003.0005

In order to deal with the nonlinear Radon transform, this chapter introduces a new type of Fourier transform: the nonlinear Fourier transform. This can be used to analyze various nonlinear Radon transforms. It is also useful in giving a new approach to wave front sets. (The quadratic case is similar to the FBI transform.)

Keywords:   Fourier transform, nonlinear, wave front sets, quadratic, FBI transform

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