Asymptotic Behavior of the Fourier Transform of Piecewise-smooth Functions
نویسندگان
چکیده
Let D be a bounded domain in Rn such that ∂D is a union of a finite number of smooth hypersurfaces in general position. The asymptotics of the Fourier transform of a piece-wise smooth function f(x) with discontinuities of the first kind on ∂D, in particular of the characteristic function of D, is found in almost all directions. The results are based on our recent work on the singularities of the Radon transform.
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