Ground state and lowest eigenvalue of the Laplacian for non-compact hyperbolic surfaces (Q1081944)
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scientific article; zbMATH DE number 3971840
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ground state and lowest eigenvalue of the Laplacian for non-compact hyperbolic surfaces |
scientific article; zbMATH DE number 3971840 |
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Ground state and lowest eigenvalue of the Laplacian for non-compact hyperbolic surfaces (English)
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1986
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Let M be a complete Riemannian surface with constant curvature -1 and a finitely generated fundamental group. The authors estimate the first eigenvalue of the Laplacian giving upper and lower bounds, and they give information on the shape of the basic eigenfunction.
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first eigenvalue of the Laplacian
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first eigenfunction of the Laplacian
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complete Riemann surface
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