JournalsprimsVol. 42 , No. 2DOI 10.2977/prims/1166642115

Radon Transforms of Constructible Functions on Grassmann Manifolds

  • Yutaka Matsui

    Kinki University, Osaka, Japan
Radon Transforms of Constructible Functions on Grassmann Manifolds cover

Abstract

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.