Continuous Wavelet Transforms for Vector-Valued Functions

被引：0
|
作者：
Ishi, Hideyuki [1 ]
Oshiro, Kazuhide [1 ]
机构：
[1] Osaka City Univ, OCAMI, Sumiyoshi Ku, 3-3-138 Sugimoto, Osaka 5588585, Japan
来源：
GEOMETRIC SCIENCE OF INFORMATION (GSI 2021) | 2021年 / 12829卷
关键词：
Continuous wavelet transforms; Unitary representations; Similitude group; Divergence-free vector fields;
D O I：
10.1007/978-3-030-80209-7_37
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We consider continuous wavelet transforms associated to unitary representations of the semi-direct product of a vector group with a linear Lie group realized on the Hilbert spaces of square-integrable vector-valued functions. In particular, we give a concrete example of an admissible vector-valued function (vector field) for the 3-dimensional similitude group.
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页码：331 / 339
页数：9
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