A Local Uniqueness Theorem for Weighted Radon Transforms
نویسنده
چکیده
We consider a weighted Radon transform in the plane, Rm(ξ, η) = R R f(x, ξx + η)m(x, ξ, η)dx, where m(x, ξ, η) is a smooth, positive function. Using an extension of an argument of Strichartz we prove a local injectivity theorem for Rm for essentially the same class of m(x, ξ, η) that was considered by Gindikin in his article in this issue.
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تاریخ انتشار 2010