Radon transforms of Constructible functions on Grassmann manifolds
نویسنده
چکیده
In [14], P.Schapira obtained a formula for RS in the general situation. This formula gives an inversion formula for the Radon transform of constructible functions from a real projective space to its dual in the case when the whole dimension is odd. We can, that is, reconstruct a constructible function φ on the projective space from its Radon transform RS(φ). This topological meaning is that we can reconstruct the original subanalytic set from the knowledge of the Euler-Poincaré indices of all its affine slices.
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تاریخ انتشار 2004