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Some Remarks on Projective Representations of Compact Groups and Frames

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Abstract

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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Acknowledgements

The authors thank the referees for useful comments and suggestions. The authors were supported by NSFC 11701272 and NSFC 12071221.

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Author notes

  1. Chuangxun Cheng and Guilin Li contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, Nanjing University, No. 22 Hankou Road, Nanjing, 210093, Jiangsu, People’s Republic of China

    Chuangxun Cheng

  2. College of Mathematics and Physics, Chengdu University of Technology, No. 1 Dongsan Road, Chengdu, 610059, Sichuan, People’s Republic of China

    Guilin Li

Authors
  1. Chuangxun Cheng
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  2. Guilin Li
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Correspondence to Chuangxun Cheng.

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Cheng, C., Li, G. Some Remarks on Projective Representations of Compact Groups and Frames. Commun. Math. Stat. (2024). https://doi.org/10.1007/s40304-023-00381-3

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