On Analytic Integrated Semigroups
نویسندگان
چکیده
The known definition of an analytic n-times integrated semigroup is reconsidered and one superfluous condition is removed. It is proved that every densely defined generator of an exponentially bounded, analytic n-times integrated semigroup of angle α with the appropriate growth rate at zero is also the generator of an analytic C0-semigroup of the same angle. AMS Mathematics Subject Classification (2000): 47D03, 47D99, 47D62.
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