On generalized d'Alembert functional equation.

Akkouchi, Mohamed, et al. "On generalized d'Alembert functional equation.." Extracta Mathematicae 21.1 (2006): 67-82. <http://eudml.org/doc/41851>.

@article{Akkouchi2006,
abstract = {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 equationD(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.},
author = {Akkouchi, Mohamed, Bakali, Allal, Bouikhalene, Belaid, El Qorachi, El Houcien},
journal = {Extracta Mathematicae},
keywords = {Ecuaciones funcionales; Grupos de Lie; Grupo localmente compacto; Teoría de la representación; Operadores diferenciales; integral functional equation; Gelfand measure; locally compact Hausdorff group; commutative Banach algebra; Lie group},
language = {eng},
number = {1},
pages = {67-82},
title = {On generalized d'Alembert functional equation.},
url = {http://eudml.org/doc/41851},
volume = {21},
year = {2006},
}

TY - JOUR
AU - Akkouchi, Mohamed
AU - Bakali, Allal
AU - Bouikhalene, Belaid
AU - El Qorachi, El Houcien
TI - On generalized d'Alembert functional equation.
JO - Extracta Mathematicae
PY - 2006
VL - 21
IS - 1
SP - 67
EP - 82
AB - 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 equationD(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.
LA - eng
KW - Ecuaciones funcionales; Grupos de Lie; Grupo localmente compacto; Teoría de la representación; Operadores diferenciales; integral functional equation; Gelfand measure; locally compact Hausdorff group; commutative Banach algebra; Lie group
UR - http://eudml.org/doc/41851
ER -