Kostić, Marko On frequently hypercyclic \(C\)-distribution cosine functions in Fréchet spaces. (English) Zbl 1454.47013 Mat. Bilt. 42, No. 2, 19-34 (2018). Summary: In this paper, we analyse frequently hypercyclic \(C\)-distribution cosine functions in separable infinite-dimensional complex Fréchet spaces. The notion of frequent hypercyclicity seems to be new even for cosine operator functions in separable infinite-dimensional Banach spaces (real or complex). Our results, formulated also in terms of global fractionally integrated \(C\)-cosine functions, are illustrated with several instructive examples. MSC: 47A16 Cyclic vectors, hypercyclic and chaotic operators 47D09 Operator sine and cosine functions and higher-order Cauchy problems 47D60 \(C\)-semigroups, regularized semigroups 47D62 Integrated semigroups Keywords:\(C\)-distribution cosine functions; integrated \(C\)-cosine functions; \(C\)-distribution semigroups; integrated \(C\)-semigroups; frequent hypercyclicity PDFBibTeX XMLCite \textit{M. Kostić}, Mat. Bilt. 42, No. 2, 19--34 (2018; Zbl 1454.47013) Full Text: Link