Range descriptions for the spherical mean Radon transform

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Range descriptions for the spherical mean Radon transform ∗

The transform considered in the paper averages a function supported in a ball in Rn over all spheres centered at the boundary of the ball. This Radon type transform arises in several contemporary applications, e.g. in thermoacoustic tomography and sonar and radar imaging. Range descriptions for such transforms are important in all these areas, for instance when dealing with incomplete data, err...

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Range Descriptions for the Spherical Mean Radon Transform. I. Functions Supported in A

The transform considered in the paper averages a function supported in a ball in Rn over all spheres centered at the boundary of the ball. This Radon type transform arises in several contemporary applications, e.g. in thermoacoustic tomography and sonar and radar imaging. Range descriptions for such transforms are important in all these areas, for instance when dealing with incomplete data, err...

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Ju l 2 00 6 Range descriptions for the spherical mean Radon transform ∗

The transform considered in the paper averages a function supported in a ball in Rn over all spheres centered at the boundary of the ball. This Radon type transform arises in several contemporary applications, e.g. in thermoacoustic tomography and sonar and radar imaging. Range descriptions for such transforms are important in all these areas, for instance when dealing with incomplete data, err...

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1 6 Ju l 2 00 6 Range descriptions for the spherical mean Radon transform ∗

The transform considered in the paper averages a function supported in a ball in Rn over all spheres centered at the boundary of the ball. This Radon type transform arises in several contemporary applications, e.g. in thermoacoustic tomography and sonar and radar imaging. Range descriptions for such transforms are important in all these areas, for instance when dealing with incomplete data, err...

متن کامل

Ju n 20 06 Range descriptions for the spherical mean Radon transform . I . Functions supported in a ball . ∗

The transform considered in the paper averages a function supported in a ball in Rn over all spheres centered at the boundary of the ball. This Radon type transform arises in several contemporary applications, e.g. in thermoacoustic tomography and sonar and radar imaging. Range descriptions for such transforms are important in all these areas, for instance when dealing with incomplete data, err...

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ژورنال

عنوان ژورنال: Journal of Functional Analysis

سال: 2007

ISSN: 0022-1236

DOI: 10.1016/j.jfa.2007.03.022