Laplace transforms, non-analytic growth bounds and C₀-semigroups

In this thesis, we study a non-analytic growth bound $\zeta(f)$ associated with an exponentially bounded measurable function $f: \mathbb{R}_{+} \to \mathbf{X},$ which measures the extent to which $f$ can be approximated by holomorphic functions. This growth bound is related to the location of the do...

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Bibliographic Details
Main Author: Srivastava, Sachi
Published: University of Oxford 2002
Subjects:
512
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249507