d’Alembert functional equations in distributions

Deeba, E. Y.; Koh, E. L.

doi:10.1090/S0002-9939-1992-1100648-0

d’Alembert functional equations in distributions
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by E. Y. Deeba and E. L. Koh PDF

Proc. Amer. Math. Soc. 116 (1992), 157-164 Request permission

Abstract:

In this paper we shall develop a method to define and solve the D’Alembert functional equation in distributions. We shall also show that for regular distributions (i.e., locally integrable functions) the distributional solution reduces to the classical one.

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