- 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.
- 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
- Language:
- French
- Copyright date:
- 2000
Journal article
Convergence of Laplace integrals
Actions
Authors
Bibliographic Details
Item Description
Terms of use
Metrics
Altmetrics
Dimensions
If you are the owner of this record, you can report an update to it here: Report update to this record