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Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 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

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.

Full text: PDF file (356 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
References: PDF file   HTML file
UDC: 517.51+517.98
Received: 15.03.2012
Accepted:15.03.2012

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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Yu. A. Farkov, “Konechnye freimy Parsevalya v analize Uolsha”, Materialy Voronezhskoi zimneimatematicheskoi shkolySovremennye metody teorii funktsiii smezhnye problemy.28 yanvarya–2 fevralya 2019 g.Chast 1, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 170, VINITI RAN, M., 2019, 118–128  mathnet  crossref
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