The remainder in Weyl’s law for 𝑛-dimensional Heisenberg manifolds

DOI10.1090/S0002-9939-05-08155-4zbMath1080.35054OpenAlexW1864989511MaRDI QIDQ5313337

Yiannis N. Petridis, Mahta Khosravi

Publication date: 29 August 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08155-4

zbMATH Keywords

Heisenberg groupRiemannian manifoldWeyl's lawspectral counting functionHeisenberg manifolds

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (6)

Cramér's formula for Heisenberg manifolds ⋮ On the Weyl law for quantum graphs ⋮ Sign changes of the error term in Weyl’s law for Heisenberg manifolds ⋮ The lattice point counting problem on the Heisenberg groups ⋮ A lower bound for the error term in Weyl's law for certain Heisenberg manifolds. II. ⋮ On the error term in Weyl's law for the Heisenberg manifolds. II

Cites Work

• The spectrum of the Laplacian on Riemannian Heisenberg manifolds
• New omega theorems for two classical lattice point problems
• The remainder in Weyl's law for Heisenberg manifolds
• Integrable geodesic flows on \(n\)-step nilmanifolds
• The spectral function of an elliptic operator
• Some extremal functions in Fourier analysis
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