Spectral Properties for Pseudodifferential Operators via Weighted Modulation Spaces

被引：0
|
作者：
Askari-Hemmat, A. [1 ,2 ]
Rahbani, Z. [3 ]
机构：
[1] Shahid Bahonar Univ Kerman, Dept Math, Kerman, Iran
[2] Kerman Grad Univ Technol, Dept Math, Kerman, Iran
[3] Vali E Asr Univ, Dept Math, Rafsanjan, Iran
来源：
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2012年 / 3卷 / 03期
关键词：
Frames; Gabor systems; Modulation spaces; Wilson bases; Spectral representation; trace-class operators;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we deal with this question: considering spectral representation of a positive trace-class integral operator, if its orthonormal eigenvectors are in modulation space Mg? This question actually provide a new framework for studying the connection between operator theory and modulation spaces. Here we use some Schatten class properties of pseudodifferential operators to give a positive answer to this question.
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页码：261 / 272
页数：12
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