QUASIANALYTIC GELFAND-SHILOV SPACES WITH APPLICATION TO LOCALIZATION OPERATORS

被引：30
|
作者：
Cordero, Elena [1 ]
Pilipovic, Steven [2 ]
Rodino, Luigi [1 ]
Teofanov, Nenad [2 ]
机构：
[1] Univ Turin, Dept Math, I-10124 Turin, Italy
[2] Univ Novi Sad, Dept Math & Informat, Novi Sad, Serbia
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2010年 / 40卷 / 04期
关键词：
Localization operator; ultra-distributions; Gelfand-Shilov spaces; modulation space; Wigner distribution; short-time Fourier transform; Schatten class; MODULATION SPACES; ULTRADISTRIBUTIONS; CALCULUS;
D O I：
10.1216/RMJ-2010-40-4-1123
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study localization operators with symbols in spaces of quasi-analytic distributions. More precisely, it is shown that certain quasianalytic distributions, considered as symbols, give rise to trace-class localization operators. We give a new structure theorem for quasianalytic distributions which combines its local and global properties. In the proof we use the heat kernel and parametrix techniques, while in the study of localization operators we use the techniques of time-frequency analysis.
引用
收藏
页码：1123 / 1147
页数：25
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