On representation of Parseval frames


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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

References

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