Eigenvalue asymptotics for the Schrödinger operators on the hyperbolic plane

DOI10.1016/S0022-1236(03)00237-4zbMath1062.35051MaRDI QIDQ1883228

Yuzuru Inahama, Shin-Ichi Shirai

Publication date: 1 October 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatoreigenvalue asymptoticsRiemannian manifolds

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (1)

Eigenvalue asymptotics for the Schrödinger operators on the real and the complex hyperbolic spaces

Cites Work

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• Brownian motion on the hyperbolic plane and Selberg trace formula
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• Quasi sure analysis of stochastic flows and Banach space valued smooth functionals on the Wiener space
• Kernels of Trace Class Operators
• The weyl calculus of pseudo-differential operators
• Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds

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