A non-analytic growth bound for Laplace transforms and semigroups of operators
Let f : ℝ+ → ℂ be an exponentially bounded, measurable function. We introduce a growth bound ζ(f) which measures the extent to which f can be approximated by holomorphic functions. This growth bound is related to the location of the domain of holomorphy of the Laplace transform of f far from the rea...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2003
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