Singularities of the Radon Transform

Ruben Hayrapetyan; Alexander G. Ramm

doi:10.1080/00036810108840967

Singularities of the Radon Transform

Ruben Hayrapetyan, Alexander G. Ramm

Kettering University

Research output: Contribution to journal › Article › peer-review

Abstract

The singular support of the Radon transform R f of a function f with a compact support is described in terms of Generalized Legendre transform. The asymptotic behavior of R f near the singular support modulo smooth functions Is described In terms of a geometrical invariant. Introduced in the paper

Original language	American English
Journal	Applicable Analysis
Volume	79
DOIs	https://doi.org/10.1080/00036810108840967
State	Published - Aug 20 2000

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Mechanical Engineering

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title = "Singularities of the Radon Transform",

abstract = " The singular support of the Radon transform R f of a function f with a compact support is described in terms of Generalized Legendre transform. The asymptotic behavior of R f near the singular support modulo smooth functions Is described In terms of a geometrical invariant. Introduced in the paper ",

author = "Ruben Hayrapetyan and Ramm, \{Alexander G.\}",

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doi = "10.1080/00036810108840967",

language = "American English",

volume = "79",

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AU - Ramm, Alexander G.

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Y1 - 2000/8/20

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AB - The singular support of the Radon transform R f of a function f with a compact support is described in terms of Generalized Legendre transform. The asymptotic behavior of R f near the singular support modulo smooth functions Is described In terms of a geometrical invariant. Introduced in the paper

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DO - 10.1080/00036810108840967

M3 - Article

VL - 79

JO - Applicable Analysis

JF - Applicable Analysis

ER -

Singularities of the Radon Transform

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