The wave trace for Riemann surfaces
type: Item
instance of: scholarly article
title: The wave trace for Riemann surfaces
zbMATH Open document ID: 0947.58022
author: Laurent Guillopé
author: Maciej Zworski
published in: Geometric and Functional Analysis. GAFA
publication date: 2000-03-19T00:00:00Z
review text: The Selberg trace formula for a Riemann surface of finite geometry with hyperbolic metric is presented. A surface of finite geometry differs from a finite volume one by the fact that it can have a finite number of funnels. These are of a particularly simple geometry, therefore, modulo some regularization, it is possible to transfer the well-known methods of the finite volume case. As an application a new lower bound for the number of resonances is given.
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 11F72
zbMATH DE Number: 1417605
zbMATH Keywords: Selberg trace formula
zbMATH Keywords: Riemann surface
zbMATH Keywords: finite geometry
zbMATH Keywords: hyperbolic metric
zbMATH Keywords: resonances
reviewed by: Anton Deitmar
MaRDI profile type: Publication
full work available at URL: s000390050110
OpenAlex ID: W1998805752
DOI: 10.1007/S000390050110
description: scientific article; zbMATH DE number 1417605