A MOIRE PATTERN ON SYMMETRIC SPACES OF THE NONCOMPACT TYPE

被引：0
|
作者：
Afgoustidis, Alexandre [1 ]
机构：
[1] Univ Paris 09, CEREMADE, PSL, Pl Marechal De Lattre De Tassigny, F-75775 Paris 16, France
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 09期
关键词：
Spherical functions; Riemannian symmetric spaces; Fourier-Helgason transform; neuroscience; FOURIER-TRANSFORM;
D O I：
10.1090/proc/14125
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that if X is a symmetric space of the noncompact type, just as adding Helgason waves which propagate in all directions will yield an elementary spherical function for X, a Helgason wave can be produced by adding elementary spherical functions whose centers describe a horocycle in X.
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页码：3747 / 3758
页数：12
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