A Mourre estimate and related bounds for hyperbolic manifolds with cusps of non-maximal rank
type: Item
instance of: scholarly article
title: A Mourre estimate and related bounds for hyperbolic manifolds with cusps of non-maximal rank
zbMATH Open document ID: 0729.58051
DOI: 10.1016/0022-1236(91)90080-O
author: Peter Perry
author: Richard Froese
author: Peter D. Hislop
published in: Journal of Functional Analysis
publication date: 1991-01-01T00:00:00Z
review text: The authors consider the Laplacian on quotients of hyperbolic n-space by a geometrically finite discrete group of hyperbolic isometries with parabolic subgroups of non-maximal rank. They prove a ``Mourre estimate'' and commutator estimates on the Laplacian which imply absolute continuity of the spectrum and quantitative resolvent estimates.
reviewed by: Helga Baum
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 4205468
zbMATH Keywords: cusps
zbMATH Keywords: Mourre estimate
zbMATH Keywords: Laplacian
zbMATH Keywords: quotients of hyperbolic n-space
zbMATH Keywords: spectrum
MaRDI profile type: Publication
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full work available at URL: 0022-1236(91)90080-o
OpenAlex ID: W2050551110
description: scientific article; zbMATH DE number 4205468