Spectrum of the Laplace operator and periodic geodesics: thirty years after
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Publication:2477566
DOI10.5802/aif.2339zbMath1142.35057OpenAlexW2477703526MaRDI QIDQ2477566
Publication date: 14 March 2008
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_2007__57_7_2429_0
symplectic geometryspectrumLaplace operatortrace formulatwist mapperiodic geodesicsmetaplecticsemiclassical trace formulas
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) Geodesics in global differential geometry (53C22)
Related Items (14)
Equivariant spectral asymptotics for h-pseudodifferential operators ⋮ Archimedean zeta functions and oscillatory integrals ⋮ Spectral rigidity for spherically symmetric manifolds with boundary ⋮ Hans Duistermaat's contributions to Poisson geometry ⋮ A proof of a trace formula by Richard Melrose ⋮ Geodesics on a K3 surface near the orbifold limit ⋮ Invariants of Isospectral Deformations and Spectral Rigidity ⋮ LOCAL TRACE FORMULAE AND SCALING ASYMPTOTICS IN TOEPLITZ QUANTIZATION ⋮ Gutzwiller's semiclassical trace formula and Maslov-type index theory for symplectic paths ⋮ Variational methods in geometry ⋮ A Gutzwiller type trace formula for the magnetic Dirac operator ⋮ Local trace formulae and scaling asymptotics for general quantized Hamiltonian flows ⋮ A Gutzwiller trace formula for Dirac operators on a stationary spacetime ⋮ Expected values of eigenfunction periods
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