2014/02/02 by Belaid Bouikhalene, Bouikhalene, Belaid, Eloqrachi Elhoucien +1
Mathematics · #39B52 #39B82 #FOS: Mathematics #Functional Analysis (math.FA) #Group Theory (math.GR) #math.FA #math.GR #msc:39B52 #msc:39B82
paper · pdf · doi:10.48550/arxiv.1404.4109
submitted for publication in Georgian Math. J
arxiv created 2014/02/02 · arxiv updated 2014/04/17
In \citebbb the authors obtained the Hyers-Ulam stability of the functional equation ∫K∫G f(xtk⋅ y)dμ(t)dk=f(x)g(y), x, y ∈ G , where G is a Hausdorff locally compact topological group, K is a copmact subgroup of morphisms of G, μ is a K-invariant complex measure with compact support, provided that the continuous function f satisfies some Kannappan Type condition. The purpose of this paper is to remove this restriction.