D'ALEMBERT'S FUNCTIONAL EQUATION ON COMPACT GROUPS

被引：2
|
作者：
Szekelyhidi, Laszlo [1 ]
机构：
[1] Univ Debrecen, Inst Math, H-4012 Debrecen, Hungary
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2007年 / 1卷 / 02期
关键词：
spectral synthesis; functional equation; compact group;
D O I：
10.15352/bjma/1240336220
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
At the Fourty-forth International Symposium on Functional Equations in 2006, Louisville, Kentucky, USA, T. M. K. Davison presented a talk under the title "D'Alembert's functional equation on compact groups" in which he offered a solution method for this equation on any compact group. In this paper we offer another approach based on some very recent results on spectral synthesis, which method seems to be useful in the case of other equations.
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页码：221 / 226
页数：6
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