Local translations associated to spectral sets

被引：0
|
作者：
Dutkay, Dorin Ervin [1 ]
Haussermann, John [1 ]
机构：
[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA
来源：
OPERATOR METHODS IN WAVELETS, TILINGS, AND FRAMES | 2014年 / 626卷
关键词：
Spectrum; tile; Hadamard matrix; Fuglede conjecture; local translations; COMPLEX HADAMARD-MATRICES; CONJECTURE;
D O I：
10.1090/conm/626/12504
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In connection to the Fuglede conjecture, we study groups of local translations associated to spectral sets, i.e., measurable sets in R or Z that have an orthogonal basis of exponential functions. We investigate the connections between the groups of local translations on Z and on R and present some examples for low cardinality. We present some relations between the group of local translations and tilings.
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页码：107 / 120
页数：14
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