Convergence of the normalized spectral counting function on degenerating hyperbolic Riemann surfaces of finite volume (Q1370391)
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scientific article; zbMATH DE number 1078490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of the normalized spectral counting function on degenerating hyperbolic Riemann surfaces of finite volume |
scientific article; zbMATH DE number 1078490 |
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Convergence of the normalized spectral counting function on degenerating hyperbolic Riemann surfaces of finite volume (English)
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26 October 1997
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The authors study the spectral asymptotics of degenerating families of hyperbolic Riemann surfaces, either compact or non-compact but always of finite volume. They prove that the second integral of the spectral counting function has an asymptotic expansion out to \(O(l)\), where \(l\) is the degenerate parameter.
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degenerating hyperbolic Riemann surfaces
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finite volume
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spectral asymptotics
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spectral counting function
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