Geodesic
Necessary and sufficient conditions for prime Parseval frames
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2012), pp. 42-48

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In the article we consider two disjoint classes of frames, prime and composite Parseval frames, the union of which forms a set of Parseval frames. The main goal is to obtain a description of these two classes. In this article we prove necessary and sufficient conditions for the frame to be a prime Parseval frame.
Keywords: Parseval frames, frame equivalence, prime and composite frames. 
@article{VSGU_2012_6_a5,
     author = {I. S. Ryabtsov},
     title = {Necessary and sufficient conditions for prime {Parseval} frames},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {42--48},
     publisher = {mathdoc},
     number = {6},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2012_6_a5/}
}
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I. S. Ryabtsov. Necessary and sufficient conditions for prime Parseval frames. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2012), pp. 42-48. http://geodesic.mathdoc.fr/item/VSGU_2012_6_a5/