A Mourre estimate and related bounds for hyperbolic manifolds with cusps of non-maximal rank (Q806140)
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scientific article; zbMATH DE number 4205468
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Mourre estimate and related bounds for hyperbolic manifolds with cusps of non-maximal rank |
scientific article; zbMATH DE number 4205468 |
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A Mourre estimate and related bounds for hyperbolic manifolds with cusps of non-maximal rank (English)
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1991
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The authors consider the Laplacian on quotients of hyperbolic n-space by a geometrically finite discrete group of hyperbolic isometries with parabolic subgroups of non-maximal rank. They prove a ``Mourre estimate'' and commutator estimates on the Laplacian which imply absolute continuity of the spectrum and quantitative resolvent estimates.
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cusps
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Mourre estimate
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Laplacian
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quotients of hyperbolic n-space
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spectrum
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