Prakash, Anand The duality theory of topological groups with the convolution of functions. (English) Zbl 1007.43003 Math. Educ. 34, No. 4, 223-225 (2000). The paper contains two theorems (\(G\) is a locally compact abelian group and \(G'\) its dual): (1) Let there exist a function \(f_1\in L_p(G)\). Then there exist two dual measurable functions \(f_1'\) and \(g_1'\) with \(f_1'+g_1'\in L_1(G')\). (2) There exists the result \(f_1'*g_1'\in L_1(G') \Rightarrow x'*y'\in G'\). Reviewer: Miroslav Hušek (Praha 8) MSC: 43A15 \(L^p\)-spaces and other function spaces on groups, semigroups, etc. 22A05 Structure of general topological groups 43A07 Means on groups, semigroups, etc.; amenable groups 22B05 General properties and structure of LCA groups Keywords:topological group; measurable function; locally compact abelian group PDFBibTeX XMLCite \textit{A. Prakash}, Math. Educ. 34, No. 4, 223--225 (2000; Zbl 1007.43003)