The wave trace for Riemann surfaces (Q1970016)
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scientific article; zbMATH DE number 1417605
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The wave trace for Riemann surfaces |
scientific article; zbMATH DE number 1417605 |
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The wave trace for Riemann surfaces (English)
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19 March 2000
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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.
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Selberg trace formula
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Riemann surface
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finite geometry
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hyperbolic metric
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resonances
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