On the Spectrum of Towers

DOI10.2307/2043710zbMath0512.58038OpenAlexW4255267539MaRDI QIDQ3657110

Harold Donnelly

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2043710

zbMATH Keywords

Laplaciansequence of subgroupsvon Neumann algebra of bounded operators

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (5)

Holomorphic line bundles over a tower of coverings ⋮ Twisted \(L^2\)-torsion on the character variety ⋮ Large degree covers and sharp resonances of hyperbolic surfaces ⋮ Elliptic operators and covers of Riemannian manifolds ⋮ Betti numbers on a tower of coverings

Cites Work

• Unnamed Item
• Lower bounds for the eigenvalues of negatively curved manifolds
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Über die Eigenwerte des Laplace-Operators auf kompakten Riemannschen Flächen
• The Plancherel measure in nilpotent Lie groups as a limit of point measures
• Limit formulas for multiplicities in \(L^2(\Gamma\setminus G)\)
• Asymptotic expansions for the compact quotients of properly discontinuous group actions
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Some Remarks on the Exponential Mapping for an Affine Connection.
• Stability Theorems for the Continuous Spectrum of a Negatively Curved Manifold
• On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
• Isoperimetric constants and the first eigenvalue of a compact riemannian manifold

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