A generalization of variant of Wilson stype Hilbert space valued functional equations.
Keywords:D’Alembert’s functional equation, Hilbert space, Hadamard product, Superstability
In the present paper we characterize, in terms of characters, multiplicative functions, the continuous solutions of some functional equations for mappings defined on a monoid and taking their values in a complex Hilbert space with the Hadamard product. In addition, we investigate a superstability result for these equations.
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