UNITARY DUAL OF THE STANDARD SHEARLET GROUP, IN ARBITRARY SPACE DIMENSIONS

被引：0

作者：

Zare, Masoumeh ^{[1
]}

Kamyabi-Gol, Rajab Ali ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Iran

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2018年 / 80卷 / 02期

关键词：

Standard shearlet group; unitary dual; irreducible representation; Mackey theory;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to definition standard higher dimension shearlet group S = R+ x Rn-1 x R-n in arbitrary space dimensions and concerned with the application of the Mackey Machine in order to determine the unitary dual of S, using the theory of induced unitary representations for locally compact groups, via the action of R+ x Rn-1 on R-n. Also we give a characterisation of irreducible sub-representations of the quasi regular representation of S.

引用

页码：51 / 60

页数：10

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