A sufficient condition for the Carasso-Kato theorem
type: Item
instance of: scholarly article
title: A sufficient condition for the Carasso-Kato theorem
zbMATH Open document ID: 0791.47033
DOI: 10.1007/BF01459506
author: Yasuhiro Fujita
published in: Mathematische Annalen
publication date: 1994-07-13T00:00:00Z
full work available at URL: https://eudml.org/doc/165136
review text: \textit{A. S. Carasso} and \textit{T. Kato} [Trans. Am. Math. Soc. 327, No. 2, 867-878 (1991; Zbl 0743.47017)] exhibited a large class of probability measures such that the subordinated semigroups are always holomorphic. In addition they obtained a necessary condition on the measure's Laplace transform for that to be the case. In the present paper, when the exponent is regularly varying, we give a sufficient condition for that to be the case. Several examples are given to illustrate this sufficient condition.
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 60E07
Mathematics Subject Classification ID: 60J25
zbMATH DE Number: 537353
zbMATH Keywords: probability measures
zbMATH Keywords: subordinated semigroups
zbMATH Keywords: Laplace transform
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 537353