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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 2(23), Pages 194–199
DOI: https://doi.org/10.14498/vsgtu862 (Mi vsgtu862) 		 
Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Theoretical and Mathematical Physics

On representation of Parseval frames

I. S. Ryabtsov

Dept. of Functional Analysis and Fucntions Theory, Samara State University, Samara
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DOI: https://doi.org/10.14498/vsgtu862
Abstract: 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.
Original article submitted 20/XII/2010
revision submitted – 10/V/2011
Bibliographic databases:
Document Type: Proceedings
UDC: 517.51+517.98
MSC: 42C15
Language: Russian
Citation: I. S. Ryabtsov, “On representation of Parseval frames”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(23) (2011), 194–199
Citation in format AMSBIB
\Bibitem{Rya11}
\by I.~S.~Ryabtsov
\paper On representation of Parseval frames
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 2(23)
\pages 194--199
\mathnet{http://mi.mathnet.ru/vsgtu862}
\crossref{https://doi.org/10.14498/vsgtu862}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
     
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