The solution of the functional equation of D'Alembert's type for commutative groups
A functional equation of the form ϕ1(x+y)+ϕ2(x−y)=∑inαi(x)βi(y), where functions ϕ1,ϕ2,αi,βi, i=1,…,n are defined on a commutative group, is solved. We also obtain conditions for the solutions of this equation to be matrix elements of a finite dimensional representation of the group.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171282000301 |
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