Kostić, M. Composition property and automatic extension of local convoluted \(C\)-cosine functions. (English) Zbl 1273.47068 Bull., Cl. Sci. Math. Nat., Sci. Math. 139, No. 34, 89-106 (2009). Summary: The central theme of the paper is to clarify the composition property of convoluted \(C\)-cosine functions. As an application, we obtain an extension type theorem for local convoluted \(C\)-cosine functions. MSC: 47D06 One-parameter semigroups and linear evolution equations 47D60 \(C\)-semigroups, regularized semigroups Keywords:convoluted \(C\)-semigroups PDFBibTeX XMLCite \textit{M. Kostić}, Bull., Cl. Sci. Math. Nat., Sci. Math. 139, No. 34, 89--106 (2009; Zbl 1273.47068)