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.

引用

页码：261 / 272

页数：12

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