The inversion of the X-ray Transform on a Compact Symmetric Space
Sigurdur Helgason
Abstract
The X-ray transform on a compact symmetric space M is here inverted by means of an explicit inversion formula. The proof uses the conjugacy of the minimal closed geodesics in M and of the maximally curved totally geodesic spheres in M, proved in Math. Ann. 165 (1966), 309--317.
Create a lesson
Related papers
Noncommutative Cluster Varieties and Moduli Spaces of Local Systems
Zachary Greenberg, Dani Kaufman, Merik Niemeyer et al.
The Saito determinant for extended affine Weyl discriminant strata
Andrea Brini, Karoline van Gemst
Unitary Shimura Correspondence for Complex Classical Groups
Wan-Yu Tsai, Kayue Daniel Wong, Hongfeng Zhang
An enhanced Helgason-Johnson bound for Sp(p, q)
Zhan Ying, Chao-Ping Dong
Auslander-Reiten (n+2)-angles and local finiteness
Jian He, Yu-Zhe Liu, Panyue Zhou
A σ-McKay theorem for π-separable groups
David Cabrera-Berenguer