On a functional equation with retarded mean.
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Gy. Petruska (1989)
Aequationes mathematicae
Mohamed Akkouchi, Allal Bakali, Belaid Bouikhalene, El Houcien El Qorachi (2006)
Extracta Mathematicae
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.
Appleby, John A.D. (2010)
Advances in Difference Equations [electronic only]
J. Zabczyk (1972)
Colloquium Mathematicae
Jiří Cerha (1976)
Časopis pro pěstování matematiky
Dagmar Medková (1991)
Czechoslovak Mathematical Journal
F. Natterer (1979)
Numerische Mathematik
Cakoni, Fioralba, Colton, David (2003)
Georgian Mathematical Journal
Nguyen Quy Hy (1975)
Annales Polonici Mathematici
Mario Zuluaga Uribe (1983)
Revista colombiana de matematicas
M. Laczkovich, R. Redheffer (1991)
Aequationes mathematicae
Ferreira, José M. (2001)
Portugaliae Mathematica. Nova Série
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