REPRESENTATION OF PARSEVAL FRAMES IN HILBERT SPACES
- Authors: Ryabtsov I.1
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Affiliations:
- Samara State University
- Issue: Vol 17, No 5 (2011)
- Pages: 60-70
- Section: Статьи
- URL: https://journals.ssau.ru/est/article/view/4833
- DOI: https://doi.org/10.18287/2541-7525-2011-17-5-60-70
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Abstract
In this paper we introduce two new classes of Parseval frames in arbitrary
Hilbert spaces of finite or infinite dimension: simple and composite Parseval
frames. Theorems of representation of composite Parseval frames by summation
of simple ones are proved. Few classes of simple frames are described: orthonor
mal basis, equiangular Parseval frames and some other examples.
About the authors
I.S. Ryabtsov
Samara State University
Author for correspondence.
Email: morenov.sv@ssau.ru
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