CHARACTERIZATION OF FOURIER TRANSFORM OF H-VALUED FUNCTIONS ON THE REAL LINE

被引：1
|
作者：
Biswas, Md Hasan Ali [1 ]
Radha, Ramakrishnan [1 ]
机构：
[1] Indian Inst Technol Madras, Dept Math, Chennai, Tamil Nadu, India
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2021年 / 51卷 / 01期
关键词：
Convolution; Fourier transform; Hilbert C*-module; multiplier; vector valued functions;
D O I：
10.1216/rmj.2021.51.43
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A characterization is obtained for the Fourier transform of functions belonging to L-2 (R, H), where H denotes a Hilbert C*-module. But in the case of functions belonging to L-1 (R, H) a similar result is proved when H is a separable Hilbert space.
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页码：43 / 53
页数：11
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