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Spectral geometry for certain noncompact Riemannian manifolds

✍ Scribed by Harold Donnelly


Publisher
Springer-Verlag
Year
1979
Tongue
French
Weight
698 KB
Volume
169
Category
Article
ISSN
0025-5874

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-bounds for spectral multipliers on Riem
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Let M be a Riemannian manifold which satisfies the doubling volume property. Let be the Laplace-Beltrami operator on M and m(λ), λ ∈ R, a multiplier satisfying the Mikhlin-Hârmander condition. We also assume that the heat kernel satisfies certain upper Gaussian estimates and we prove that there is a