D’Alembert’s and Wilson’s equations on semigroups
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DOI: 10.1007/s00010-020-00708-3
Abstract: In this paper we consider a generalization of d’Alembert’s equation and Wilson’s equation on commutative semigroups using only the semigroup operation, ie. we consider the functional equation $$\begin{aligned}&h(x+2y)+h(x)=2f(y)h(x+y),\ x,y\in S, \end{aligned}$$ h ( x +… read more here.
Keywords: wilson; wilson equations; alembert wilson; equations semigroups ... See more keywords