A link between Wilson's and d'Alembert's functional equations
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- 作者：Henrik Stetkær
- 关键词：Functional equation ; d’Alembert ; Wilson ; Group
- 刊名：Aequationes Mathematicae
- 出版年：2016
- 出版时间：April 2016
- 年：2016
- 卷：90
- 期：2
- 页码：407-409
- 全文大小：369 KB
- 参考文献：1.Aczél, J.: Lectures on functional equations and their applications. In: Mathematics in Science and Engineering, vol. 19, pp. xx+510. Academic Press, New York (1966)
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3.Davison T.M.K.: D’Alembert’s functional equation on topological monoids. Publ. Math. Debr. 75(1/2), 41–66 (2009)MathSciNet MATH
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5.de Friis P.P.: d’Alembert’s and Wilson’s functional equations on Lie groups. Aequ. Math. 67, 12–25 (2004)CrossRef MATH
6.Stetkær H.: d’Alembert’s and Wilson’s functional equations on step 2 nilpotent groups. Aequ. Math. 67(3), 241–262 (2004)CrossRef MATH
7.Stetkær H.: Functional Equations on Groups. World Scientific Publishing Co, Singapore (2013)CrossRef MATH
8.Yang D.: Functional equations and Fourier analysis. Can. Math. Bull. 56(1), 218–224 (2013)MathSciNet CrossRef MATH - 作者单位：Henrik Stetkær (1)
1. Department of Mathematics, Aarhus University, Ny Munkegade 118, 8000, Aarhus C, Denmark - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Analysis
Combinatorics - 出版者：Birkh盲user Basel
- ISSN：1420-8903
文摘
If \({f, g : G \to \mathbb{C}}\), f ≠ 0, is a solution of Wilson’s functional equation on a group G, then g is a d’Alembert function.