Localization Operators on Quaternionic Hilbert Spaces

被引：0
|
作者：
Fatemeh Esmaeelzadeh
Malihe Langari
机构：
[1] Islamic Azad University,Department of Mathematics, Bojnourd Branch
来源：
Iranian Journal of Science and Technology, Transactions A: Science | 2021年 / 45卷
关键词：
Quaternion; Quaternionic Hilbert spaces; Quaternionic localization operators; Quaternionic two-wavelet localization operators; 43A15; 43A32;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the localization operator associated to quaternionic continuous wavelet transform. We show that the quaternionic localization operator is bounded if the continuous wavelet transform is real valued. Also, we investigate the relation between the localization operators in the setting of quaternion and complex Hilbert spaces. Furthermore, we prove that the quaternionic two-wavelet localization operator is bounded under some conditions.
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页码：1355 / 1360
页数：5
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