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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 6(97), Pages 42–48 (Mi vsgu29)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Necessary and sufficient conditions for prime Parseval frames

I. S. Ryabtsov

The Dept. of Functional Analysis and Function Theory, Samara State University, Samara, 443011, Russian Federation
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Abstract: 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.
Received: 15.03.2012
Accepted: 15.03.2012
Document Type: Article
UDC: 517.51+517.98
Language: Russian
Citation: I. S. Ryabtsov, “Necessary and sufficient conditions for prime Parseval frames”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 6(97), 42–48
Citation in format AMSBIB
\Bibitem{Rya12}
\by I.~S.~Ryabtsov
\paper Necessary and sufficient conditions for prime Parseval frames
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2012
\issue 6(97)
\pages 42--48
\mathnet{http://mi.mathnet.ru/vsgu29}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного университета. Естественнонаучная серия
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