A generalization of d’Alembert’s functional equation

Gudder, Stanley

doi:10.1090/S0002-9939-1992-1098400-8

A generalization of d’Alembert’s functional equation
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Proc. Amer. Math. Soc. 115 (1992), 419-425 Request permission

Abstract:

Recent investigations in the foundations of physics have shown that a quantum mechanical influence function satisfies a generalized d’Alembert functional equation. The present paper derives the solutions for this equation on a topological linear space.

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