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.

引用

页码：221 / 226

页数：6

共 7 条

[1] [Anonymous], 1966, Lectures on functional equations and their applications
[2] Hyers D.H., 1998, Stability of Functional Equations in Several Variables
[3] MAAK W, 1950, GRUNDLEHREN MATH WIS, V61
[4] On the stability of functional equations and a problem of Ulam
Rassias, TM
[J]. ACTA APPLICANDAE MATHEMATICAE, 2000, 62 (01) : 23 - 130
[5] SZEKELYHIDI L, SPECTRAL SYNTHESIS P
[6] Szekelyhidi L., 2006, SPRINGER MONOGRAPHS
[7] Szekelyhidi L., 1991, Convolution Type Functional Equations on Topological Abelian Groups

← 1 →