HEAT KERNEL BOUNDS, POINCARÉ SERIES, AND L2 SPECTRUM FOR LOCALLY SYMMETRIC SPACES
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Publication:3534776
DOI10.1017/S0004972708000488zbMath1152.58023MaRDI QIDQ3534776
Publication date: 5 November 2008
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Heat equation (35K05) Discontinuous groups and automorphic forms (11F99) Differential geometry of symmetric spaces (53C35) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items (6)
Heat kernel bounds for complex time and Schrödinger Kernel on hyperbolic spaces and Kleinian groups ⋮ The \(L^p\) spectrum of locally symmetric spaces with small fundamental group ⋮ Riesz transform on locally symmetric spaces and Riemannian manifolds with a spectral gap ⋮ Schrödinger equations on locally symmetric spaces ⋮ Riesz means on symmetric spaces ⋮ Bottom of the \(L^2\) spectrum of the Laplacian on locally symmetric spaces
Cites Work
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- Hausdorff dimensions of limit sets. I
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- The limit set of a Fuchsian group
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- Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature
- Heat kernel and Green function estimates on noncompact symmetric spaces
- Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. II
- Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. III
- Heat Kernel Bounds on Hyperbolic Space and Kleinian Groups
- Critical exponents of discrete groups and 𝐿²–spectrum
- Large Time Behavior of the Heat Kernel: On a Theorem of Chavel and Karp
- Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I
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