NECESSARY AND SUFFICIENT CONDITIONS FOR PRIME PARSEVAL FRAMES
- Authors: Ryabtsov I.1
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Affiliations:
- Samara State University
- Issue: Vol 18, No 6 (2012)
- Pages: 42-48
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4766
- DOI: https://doi.org/10.18287/2541-7525-2012-18-6-42-48
- ID: 4766
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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.
About the authors
I.S. Ryabtsov
Samara State University
Author for correspondence.
Email: morenov.sv@ssau.ru