References
Fattorini, H. O.,Ordinary differential equations in linear topological spaces, I. J. Differential Equations5 (1969), 72–105.
Lee, C.-S. andShaw, S.-Y.,Representation formulas for cosine and sine functions of operators. Aequationes Math.29 (1985), 162–172.
Lutz, D.,An approximation theorem for cosine operator functions. C.R. Math. Rep. Acad. Sci. Canada4 (1982), 359–362.
Shaw, S.-Y.,Approximation of unbounded functions and applications to representations of semigroups. J. Approx. Theory28 (1980), 238–259.
Shaw, S.-Y.,Some exponential formulas for m-parameter semigroups. Bull. Inst. Math. Acad. Sinica9 (1981), 221–228.
Sova, M.,Cosine operator functions. Rozprawy Mat.49 (1966), 1–47.
Webb, G. F.,A representation formula for strongly continuous cosine families. Aequationes Math.21 (1980), 251–256.
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Dedicated to Professor Shin-Ming Lee on his 70th birthday.
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Shaw, S.Y., Lee, C.S. & Chiou, W.L. Representation formulas for cosine and sine functions of operators II. Aeq. Math. 31, 64–75 (1986). https://doi.org/10.1007/BF02188173
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DOI: https://doi.org/10.1007/BF02188173