On generalized d'Alembert functional equation.
Akkouchi, Mohamed ; Bakali, Allal ; Bouikhalene, Belaid ; El Qorachi, El Houcien
Extracta Mathematicae, Tome 21 (2006), p. 67-82 / Harvested from Biblioteca Digital de Matemáticas
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Let G be a locally compact group. Let σ be a continuous involution of G and let μ be a complex bounded measure. In this paper we study the generalized d'Alembert functional equation

D(μ)    ∫G f(xty)dμ(t) + ∫G f(xtσ(y))dμ(t) = 2f(x)f(y) x, y ∈ G;

where f: G → C to be determined is a measurable and essentially bounded function.

Publié le : 2006-01-01
DMLE-ID : 4332 
@article{urn:eudml:doc:41851,
     title = {On generalized d'Alembert functional equation.},
     journal = {Extracta Mathematicae},
     volume = {21},
     year = {2006},
     pages = {67-82},
     zbl = {1112.39016},
     mrnumber = {MR2258342},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41851}
}

Akkouchi, Mohamed; Bakali, Allal; Bouikhalene, Belaid; El Qorachi, El Houcien. On generalized d'Alembert functional equation.. Extracta Mathematicae, Tome 21 (2006) pp. 67-82. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41851/