Localization Operators for Two-Dimensional Stockwell Transforms

被引:0
|
作者
Liu, Yu [1 ]
机构
[1] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada
来源
NEW DEVELOPMENTS IN PSEUDO-DIFFERENTIAL OPERATORS | 2009年 / 189卷
关键词
Stockwell transform; localization Operator; paracommutators; paraproducts; Fourier multiplier; PARACOMMUTATORS; COMPACTNESS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We start with an introduction about the Stockwell transforms and the resolution of the identity formula. Localization operators corresponding to the Stockwell transforms are then defined. It is proved that tinder suitable conditions on the symbols, the localization operators are, in descending order of complexity, paracommutators, paraproducts and Fourier multipliers.
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页码:287 / 296
页数:10
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