Regularized trace of the perturbed Laplace-Beltrami operator on two-dimensional manifolds with closed geodesics
DOI10.1134/S0001434613030061zbMath1277.58017OpenAlexW2147139515MaRDI QIDQ351626
Publication date: 8 July 2013
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434613030061
metricgeodesicLaplace-Beltrami operatortrace formulaDirichlet seriespseudodifferential operatorHamiltonian flowtwo-dimensional manifoldalmost Liouville metricbundle of half-densitiescotangent spacesphero-conical coordinates
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Pseudodifferential and Fourier integral operators on manifolds (58J40)
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Cites Work
- Some spectral results for the Laplace operator with potential on the n- sphere
- Some spectral results on rank one symmetric spaces
- An Addendum to: Some spectral results on rank one symmetric spaces
- Band asymptotics in two dimensions
- The spectrum of positive elliptic operators and periodic bicharacteristics
- The Laplace operator with potential on the 2-sphere
- On the summability of regularized sums of eigenvalues of the Laplace-Beltrami operator with potential on symmetric spaces of rank one
- The formula of the regularized trace for the Laplace-Beltrami operator with odd potential on the sphere \(S^ 2\)
- Spectral Properties of a Certain Class of Complex Potentials
- Convergence of regularized traces of powers of the Laplace-Beltrami operator with potential on the sphere $ S^n$
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