Article ID Journal Published Year Pages File Type
4669022 Bulletin des Sciences Mathématiques 2011 7 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)