An estimate of the Kac transfer operator
type: Item
instance of: scholarly article
title: An estimate of the Kac transfer operator
zbMATH Open document ID: 0919.47031
author: Boun Oumar Dia
author: Michelle Schatzman
published in: Journal of Functional Analysis
publication date: 1999-02-10T00:00:00Z
review text: The authors compare the exponential group of a Schrödinger operator with the corresponding Kac transfer operator. The result of \textit{B. Helffer} [Oper. Theory, Adv. Appl. 78, 161-174 (1995; Zbl 0835.47050)] is derived here in a more general setting and by different methods that rely on holomorphic semigroups and estimates of commutators.
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47B65
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 1006671
zbMATH Keywords: exponential group
zbMATH Keywords: Schrödinger operator
zbMATH Keywords: Kac transfer operator
zbMATH Keywords: holomorphic semigroups
zbMATH Keywords: estimates of commutators
reviewed by: Jaroslav Zemánek
MaRDI profile type: Publication
full work available at URL: jfan.1996.3024
OpenAlex ID: W2074028677
cites work: Commutateurs de certains semi-groupes holomorphes et applications aux directions alternées
cites work: Q4853528
cites work: Q5526485
cites work: Q5811493
DOI: 10.1006/JFAN.1996.3024
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description: scientific article; zbMATH DE number 1006671