Abstract
If G is a finite abelian group, then there are a finite number of tight G-frames, i.e., the harmonic frames (see §11). If G is nonabelian, then there is an uncountable number of unitarily inequivalent G-frames (see Proposition 10.1).
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Notes
Notes
Relaxing the condition of irreducibility gives a stable isogon (see [MVW16]).
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Waldron, S.F.D. (2018). Tight frames generated by nonabelian groups . In: An Introduction to Finite Tight Frames. Applied and Numerical Harmonic Analysis. Birkhäuser, New York, NY. https://doi.org/10.1007/978-0-8176-4815-2_13
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DOI: https://doi.org/10.1007/978-0-8176-4815-2_13
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