Geodesic
On representation of Parseval frames
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2011), pp. 194-199

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This paper investigates properties of Parseval frames in finite dimensional vector spaces, namely, the possibility of representing some frames as sums of others. A new approach in constructing arbitrary Parseval frames and the decomposition arbitrary frame into the sum are described. Besides there is a number of special properties of equiangular tight frames.
Keywords: Parseval frames, frame equivalency, frame representations, equiangular frames, tight frames. 
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     author = {I. S. Ryabtsov},
     title = {On representation of {Parseval} frames},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {194--199},
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     number = {2},
     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/VSGTU_2011_2_a24/}
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I. S. Ryabtsov. On representation of Parseval frames. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2011), pp. 194-199. http://geodesic.mathdoc.fr/item/VSGTU_2011_2_a24/