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Composition property and automatic extension of local convoluted \(C\)-cosine functions. (English) Zbl 1273.47068

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
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