Journal article icon

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.

Actions


Authors


Batty, CJK More by this author
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

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP