Radon transforms of constructible functions on Grassmann manifolds

被引：4
|
作者：
Matsui, Yutaka [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
来源：
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2006年 / 42卷 / 02期
关键词：
D O I：
10.2977/prims/1166642115
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：551 / 580
页数：30
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