1980International Journal of Mathematics and Mathematical SciencesOpen access

The solution of the functional equation of D′Alembert′s type for commutative groups

Andrew L. Rukhin

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Abstract

A functional equation of the form , 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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A functional equation of the form , 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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Available abstract

A functional equation of the form , 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.

Key concepts: Algorithm, Computer science

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