Journal article
Convergence of Laplace integrals
- Abstract:
- 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 in the semigroup case. P.H. Bloch gave an example of an integrable function for which the result does not hold. © 2000 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS.
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Bibliographic Details
- Journal:
- Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
- Volume:
- 330
- Issue:
- 2
- Pages:
- 71-75
- Publication date:
- 2000-01-15
- ISSN:
-
0764-4442
- URN:
-
uuid:12300c27-2130-45eb-a8fa-d916a0e6cb0e
- Source identifiers:
-
147256
- Local pid:
- pubs:147256
Item Description
- Language:
- French
Terms of use
- Copyright date:
- 2000
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