Convergence of Laplace integrals
We show that the abscissa of convergence of the Laplace transform of an exponentially bounded function does not exceed its abscissa of boundedness. For C0-semigroups of operators, this result was first proved by L. Weis and V. Wrobel. Our proof for functions follows a method used by J. van Neerven i...
Main Authors: | Batty, C, Blake, MD |
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Format: | Journal article |
Language: | French |
Published: |
2000
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