The solution of the functional equation of D'Alembert's type for commutative groups
1982 ◽
Vol 5
(2)
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pp. 315-335
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Keyword(s):
A functional equation of the formϕ1(x+y)+ϕ2(x−y)=∑inαi(x)βi(y), where functionsϕ1,ϕ2,αi,βi,i=1,…,nare 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.
1966 ◽
Vol 27
(2)
◽
pp. 531-542
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2002 ◽
Vol 15
(5)
◽
pp. 527-532
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2014 ◽
Vol 150
(9)
◽
pp. 1579-1606
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2001 ◽
Vol 16
(29)
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pp. 4769-4801
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1993 ◽
Vol 08
(20)
◽
pp. 3479-3493
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