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.
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页码：1 / 9
页数：9
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