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Title: Finitely generated gyrovector subspaces in the Möbius gyrovector space (Researches on isometries from various viewpoints)
Other Titles: メビウスジャイロベクトル空間における有限生成ジャイロベクトル部分空間 (等距離写像研究の多角的アプローチ)
Authors: Abe, Toshikazu
Watanabe, Keiichi
Author's alias: 阿部, 敏一
渡邉, 恵一
Issue Date: Jul-2017
Publisher: 京都大学数理解析研究所
Journal title: 数理解析研究所講究録 = RIMS Kokyuroku
Volume: 2035
Start page: 140
End page: 149
Abstract: We show that any finitely generated gyrovector subspace in the Möbius gyrovector space coincides with the intersection of the linear subspace generated by the same generators and the Möbius ball. As an application, we present a notion of orthogonal gyrodecomposition and clarify the relationship with the orthogonal decomposition. In addition, an announce of the abstract of the results which were recently obtained by the second author will be made. One of the main results is the orthogonal gyroexpansion of an arbitrary element with respect to any orthogonal basis in the Möbius gyrovector space and its concrete procedure to calculate the gyrocoefficients.
Appears in Collections:2035 Researches on isometries from various viewpoints

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