Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4669022 | Bulletin des Sciences Mathématiques | 2011 | 7 Pages |
Abstract
Let Γ be a smooth curve in the plane R2, and Λ be any subset of R2. When can one recover uniquely a finite measure μ, supported by Γ and absolutely continuous with respect to the arc length measure on Γ, from the restriction to Λ of its Fourier transform? In this note we present two results in the subject, one is concerned with the case when Γ is a circle, and the other with the case when Λ is “close” to a lattice.
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