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.

引用

页码：3747 / 3758

页数：12

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