Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-13T02:40:35.986Z Has data issue: false hasContentIssue false
  • English
  • Français

FINITE AND LOCAL LAPLACE TRANSFORMS IN BANACH SPACES

Published online by Cambridge University Press:  04 July 2003

Valentin Keyantuo ,
Claus Müller  and
Peter Vieten
Valentin Keyantuo
Affiliation:
Department of Mathematics, University of Puerto Rico, Rio Piedras 00931, Puerto Rico (keyantuo@upracd.upr.clu.edu)
Claus Müller
Affiliation:
Fachbereich Mathematik der Universität Kaiserslautern, Erwin-Schrödinger Strasse, 67663 Kaiserslautern, Germany (claus_mueller@mathematik.uni-kl.de)
Peter Vieten
Affiliation:
Fachbereich Mathematik der Universität Kaiserslautern, Erwin-Schrödinger Strasse, 67663 Kaiserslautern, Germany (claus_mueller@mathematik.uni-kl.de)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We establish two characterizations of local Laplace transforms in Banach spaces. The first result follows the classic approach of Widder, while the second is in terms of vector-valued moment sequences. As a consequence, we derive characterizations of nilpotent semigroups.

AMS 2000 Mathematics subject classification: Primary 44A10; 47D03

Keywords

local Laplace transformfinite Laplace transformnilpotent semigroupmoment sequence
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 46 , Issue 2 , June 2003 , pp. 357 - 372
Copyright
Copyright © Edinburgh Mathematical Society 2003