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Geometric & Functional Analysis GAFA

, Volume 9, Issue 6, pp 1156–1168 | Cite as

The Wave Trace for Riemann Surfaces

  • L. Guillopé
  • M. Zworski

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.

Keywords

Riemann Surface Recent Result Group Version Trace Formula Counting Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag, Basel 1999

Authors and Affiliations

  • L. Guillopé
    • 1
  • M. Zworski
    • 2
  1. 1.Département de Mathématiques, UMR 6629, Université de Nantes & CNRS, 2, rue de la Houssinière, 44072 Nantes Cedex 03, FranceFR
  2. 2.Mathematics Department, University of California, Evans Hall, Berkeley, CA 94720, USAUS

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