Some Remarks on Projective Representations of Compact Groups and Frames

被引：2
作者：
Cheng, Chuangxun [1 ]
Li, Guilin [2 ]
机构：
[1] Nanjing Univ, Dept Math, 22 Hankou Rd, Nanjing 210093, Jiangsu, Peoples R China
[2] Chengdu Univ Technol, Coll Math & Phys, 1 Dongsan Rd, Chengdu 610059, Sichuan, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICS AND STATISTICS | 2024年
关键词：
Continuous frame; Fourier transform; Maximal spanning vector; Projective representation; The Peter-Weyl theorem;
D O I：
10.1007/s40304-023-00381-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study continuous frames with symmetries from projective representations of compact groups. In particular, we study maximal spanning vectors in detail and we prove the existence of maximal spanning vectors for irreducible projective representations of compact abelian groups by a dimension counting method.
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页数：36
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