On representation of Parseval frames
- Authors: Ryabtsov I.S1
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Affiliations:
- Samara State University
- Issue: Vol 15, No 2 (2011)
- Pages: 194-199
- Section: Articles
- Submitted: 18.02.2020
- Published: 15.06.2011
- URL: https://journals.eco-vector.com/1991-8615/article/view/21032
- ID: 21032
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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.
About the authors
Igor S Ryabtsov
Samara State University
Email: tinnulion@mail.ru
аспирант, каф. функционального анализа и теории функций; Самарский государственный университет; Samara State University
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