Convolution, Fourier analysis, and distributions generated by Riesz bases

被引：0
|
作者：
Michael Ruzhansky
Niyaz Tokmagambetov
机构：
[1] Imperial College London,Department of Mathematics
[2] Al-Farabi Kazakh National University,undefined
[3] Institute of Mathematics and Mathematical Modeling,undefined
来源：
Monatshefte für Mathematik | 2018年 / 187卷
关键词：
Convolution; Basis; Biorthogonal system; Fourier analysis; Hilbert space; 42A85; 44A35;
D O I：
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中图分类号：
学科分类号：
摘要：
In this note we discuss notions of convolutions generated by biorthogonal systems of elements of a Hilbert space. We develop the associated biorthogonal Fourier analysis and the theory of distributions, discuss properties of convolutions and give a number of examples.
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页码：147 / 170
页数：23
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