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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

FADLI, B.; ZEGLAMI, D.  and  KABBAJ, S.. The generalized Van Vleck's equation on locally compact groups. Proyecciones (Antofagasta) [online]. 2017, vol.36, n.4, pp.545-566. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172017000400545.

We determine the continuous solutions ʄ, g: G → C of each of the two functional equations

where G is a locally compact group, σ is a continuous involutive automorphism on G, and μ is a compactly supported, complex-valued Borel measure on G.

Keywords : Functional equation; Van Vleck, involutive automorphism; character; additive map..

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