NECESSARY AND SUFFICIENT CONDITIONS FOR PRIME PARSEVAL FRAMES



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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.

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I.S. Ryabtsov

Samara State University

Author for correspondence.
Email: morenov.sv@ssau.ru

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Copyright (c) 2012 Ryabtsov I.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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