Summary
The purpose of this paper is to obtain representation formulas for an integrated semigroup and a sine family of linear operators in terms of its generator.
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Serizawa, H. Representation formulas for integrated semigroups and sine families. Aeq. Math. 44, 278–291 (1992). https://doi.org/10.1007/BF01830985
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DOI: https://doi.org/10.1007/BF01830985