
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.
regular distributions, Functional equations for functions with more general domains and/or ranges, Functional inequalities, including subadditivity, convexity, etc., D'Alembert functional equation in distributions, distributional solution reduces to the classical one, Operations with distributions and generalized functions
regular distributions, Functional equations for functions with more general domains and/or ranges, Functional inequalities, including subadditivity, convexity, etc., D'Alembert functional equation in distributions, distributional solution reduces to the classical one, Operations with distributions and generalized functions
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