Pseudo-differential operators on finite Abelian groups

被引：8

作者：

Molahajloo, Shahla ^{[1
]}

Wong, K. L. ^{[2
]}

机构：

[1] Inst Adv Studies Basic Sci, Dept Math, Zanjan 4513766731, Iran

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

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2015年 / 6卷 / 01期

关键词：

Pseudo-differential operators; Quantization; Broken symmetry; Finite abelian groups; Characters; Dual groups; Plancherel's formula; Fourier inversion formula; Traces; Matrices; L-2-boundedness; Self-adjointness; Invertible elements; Permanents; Determinants; Spectral invariance; S-1;

D O I：

10.1007/s11868-015-0108-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give the basic theory of pseudo-differential operators on finite abelian groups. In the case of a group with two elements, we give a criterion for invertibility of these operators and we also give a solution of the spectral invariance problem for these operators.

引用

页码：1 / 9

页数：9

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