REGULARLY VARYING RATES OF DECREASE FOR MODULI OF CONTINUITY AND FOURIER-TRANSFORMS OF FUNCTIONS ON RD

被引：7
|
作者：
CLINE, DBH
机构：
[1] Department of Statistics, Texas A and M University, College Station
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1991年 / 159卷 / 02期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/0022-247X(91)90211-H
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We describe the correspondence between rates of decrease for various moduli of continuity of a function on Rd and for the tail-integral of the function's Fourier transform. In place of a power function (e.g., t-x), we use a regularly varying function to describe the rates of decrease. © 1991.
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页码：507 / 519
页数：13
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