PSEUDO-DIFFERENTIAL OPERATORS FOR WEYL TRANSFORMS

被引：0

作者：

Duan, Xiaoxi ^{[1
]}

Wong, M. W. ^{[1
]}

机构：

[1] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2013年 / 75卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Weyl transforms; pseudo-differential operators; symbols; noncommutative quantizations; L-2-boundedness; Hilbert-Schmidt operators; trace class operators; traces;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Pseudo-differential operators with operator-valued symbols for Weyl transforms are introduced. We give suitable conditions on the symbols for which these operators are in the trace class and give a trace formula for them.

引用

页码：3 / 12

页数：10

共 9 条

[1] [Anonymous], 1994, NONCOMMUTATIVE GEOME
[2] [Anonymous], 1980, FUNCTIONAL ANAL
[3] Cohen L., 2013, The Weyl Operator and Its Generalization, DOI DOI 10.1007/978-3-0348-0294-9
[4] Hilbert-Schmidt and trace class pseudo-differential operators on the Heisenberg group
Dasgupta, Aparajita
Wong, M. W.
[J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2013, 4 (03) : 345 - 359
[5] Du J., 2000, APPROX THEORY APPL N, V16, P41
[6] Thangavelu S, 1998, HARMONIC ANAL HEISEN
[7] Wong M.W., 1998, The Weyl Transform
[8] Wong M.W., 1999, INTRO PSEUDO DIFFERE, VSecond
[9] Wong MW, 2011, DISCRETE FOURIER ANA

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