Some Remarks on Projective Representations of Compact Groups and Frames
Chuangxun Cheng , Guilin Li
Communications in Mathematics and Statistics ›› : 1 -36.
Some Remarks on Projective Representations of Compact Groups and Frames
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.
Continuous frame / Fourier transform / Maximal spanning vector / Projective representation / The Peter–Weyl theorem
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