P. Schapira studied Radon transforms of constructible functions and obtained a formula related to an inversion formula. We generalize this formula to more complicated cases including Radon transformations between any Grassmann manifolds. In particular, we give an inversion formula for the Radon transformation and characterize images of Radon transforms of characteristic functions of Schubert cells.
Cite this article
Yutaka Matsui, Radon Transforms of Constructible Functions on Grassmann Manifolds. Publ. Res. Inst. Math. Sci. 42 (2006), no. 2, pp. 551–580DOI 10.2977/PRIMS/1166642115