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On root frames in \(\mathbb{R}^d\) - MaRDI portal

On root frames in \(\mathbb{R}^d\) (Q6049826)

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scientific article; zbMATH DE number 7739027
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English
On root frames in \(\mathbb{R}^d\)
scientific article; zbMATH DE number 7739027

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    On root frames in \(\mathbb{R}^d\) (English)
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    18 September 2023
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    In the present paper, the authors introduce two special classes of finite fusion frames: root frames and eigenframes. A root frame is a frame whose vectors form a root system; an eigenframe is a frame whose vectors are eigenvectors of its frame operator. Their interesting properties and a classification of the root frames are given. We mention here that a root frame is a scalable frame. Some concrete examples are presented.
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    root system
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    finite frame
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    fusion frame
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    scalable frame
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    eigenframe
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