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The inversion problem and applications of the generalized radon transform

✍ Scribed by Gregory Beylkin

Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
708 KB
Volume
37
Category
Article
ISSN
0010-3640

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✦ Synopsis

We prove that under certain conditions the inversion problem for the generalized Radon transform reduces to solvinga Fredholm integral equation and we obtain the asymptoticexpansionof the symbolof the integral operator in this equation.

We consider applications of the generalized Radon transform to partial differential equations with variable coefficients and provide a solution to the inversion problem for the attenuated and exponential Radon transforms.

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