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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

DIMOU, Hajira  and  KABBAJ, Samir. A generalization of variant of Wilson's type Hilbert space valued functional equations. Proyecciones (Antofagasta) [online]. 2017, vol.36, n.3, pp.485-498. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172017000300485.

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.

Keywords : D'Alembert's functional equation; Hilbert space; Hadamard product; superstability..

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