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A note on the D'Alembert functional equation

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Abstract

It is proved that the analog of D‘Alembert’s equation for a group has symmetric solutions which are central functions only in the commutative case. Necessary and sufficient conditions are given for the representability of the solutions in the form of a semisum of well-defined homomorphisms.

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Literature cited

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Authors
  1. A. L. Rukhin
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 47, pp. 182–183, 1974.

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Rukhin, A.L. A note on the D'Alembert functional equation. J Math Sci 9, 287–289 (1978). https://doi.org/10.1007/BF01578556

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  • DOI: https://doi.org/10.1007/BF01578556

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