Skip to main content
SpringerLink
Log in

The Wave Trace for Riemann Surfaces

  • Published:
Geometric & Functional Analysis GAFA Aims and scope Submit manuscript

Abstract.

We present a wave group version of the Selberg trace formula for an arbitrary surface of finite geometry. As an application we give a new lower bound on the number of resonances for hyperbolic surfaces. Motivated by recent results we formulate a conjecture on a lower bound for the counting function of resonances in a strip.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Département de Mathématiques, UMR 6629, Université de Nantes & CNRS, 2, rue de la Houssinière, 44072 Nantes Cedex 03, France, , , , , , FR

    L. Guillopé

  2. Mathematics Department, University of California, Evans Hall, Berkeley, CA 94720, USA, , , , , , US

    M. Zworski

Authors
  1. L. Guillopé
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Zworski
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Submitted: July 1998, revised: March 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guillopé, L., Zworski, M. The Wave Trace for Riemann Surfaces . GAFA, Geom. funct. anal. 9, 1156–1168 (1999). https://doi.org/10.1007/s000390050110

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000390050110

Keywords

Search

Navigation