Laplace transforms, non-analytic growth bounds and $C_{0}$-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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| Format: | Thesis |
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University of Oxford;Mathematical Institute
2002
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