The Radon transform for double fibrations of semisimple symmetric spaces

被引：0
|
作者：
Ishikawa, Satoshi [1 ]
机构：
[1] Polytech Univ, 2-32-1 Ogawanishi Cho Kodaira Shi, Tokyo 1870035, Japan
来源：
ACTA SCIENTIARUM MATHEMATICARUM | 2021年 / 87卷 / 1-2期
关键词：
Radon transform; symmetric space; Fourier transform; PALEY-WIENER THEOREM; SUPPORT THEOREMS; PRINCIPAL SERIES; RANGE;
D O I：
10.14232/actasm-020-164-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present the injectivity and support results of the Radon transform for the double fibrations of semisimple symmetric spaces in the setting of the inclusion incidence relation which generalizes the setting of our previous result in [Ish2]. We also generalize the projection slice theorem which relates the Radon transform with the Fourier transforms on semisimple symmetric spaces.
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页码：121 / 162
页数：42
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