Solution of some nonlinear complex vector functional equations (Q1769295)

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scientific article; zbMATH DE number 2147821
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Solution of some nonlinear complex vector functional equations
scientific article; zbMATH DE number 2147821

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    Solution of some nonlinear complex vector functional equations (English)
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    21 March 2005
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    The paper deals with two functional equations, the shorter is \[ f(r,s,t)f(u,v,w)+f(r,s,v)f(w,t,u)=f(r,s,u)f(v,w,t)+f(r,s,w)f(t,u,v). \] The variables and the values of \(f\) are assumed to be in a finite dimensional complex vector space, though the results seem to hold also in considerably more general structures.
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    functional equations finite dimensional complex vector spaces
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