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12. 6. 2024.
Representation Theorems for Integrated Semigroups
In this paper $\left( S(t)\right) _{t\geq 0}$ is an exponentially bounded integrated semigroup on a Banach space $X,$ with generator $A.$ We present some relations between an integrated semigroup and its generator $A,$ or its resolvent. 2000 Mathematics Subject Classification. 47D60, 47D62