Circular symmetry and the trace formula
From MaRDI portal
Publication:1262600
DOI10.1007/BF01393968zbMath0686.58040OpenAlexW2004174417MaRDI QIDQ1262600
Alejandro Uribe, Victor W. Guillemin
Publication date: 1989
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143683
eigenvaluestrace formulacircular symmetryfirst order elliptic self- adjoint classical pseudo-differential operator
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Invariance and symmetry properties for PDEs on manifolds (58J70)
Related Items
Spectral statistics on Zoll surfaces, Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits, Unnamed Item, Band Asymptotics for Operators of Dirac Type onSn, Spectral estimates around a critical level, Legendrian distributions with applications to relative Poincaré series, A semi-classical trace formula for Schrödinger operators in the case of a critical energy level, Trace formula for the magnetic Laplacian on a compact hyperbolic surface, Geometric quantization of Hamiltonian flows and the Gutzwiller trace formula, Rigidity properties of Anosov optical hypersurfaces, Geodesic biangles and Fourier coefficients of restrictions of eigenfunctions, Geodesic restrictions for the Casimir operator, Semi-classical mass asymptotics on stationary spacetimes, A semi-classical trace formula at a non-degenerate critical level., Gutzwiller's semiclassical trace formula and Maslov-type index theory for symplectic paths, On a ``Quantum Chaos theorem of R. Schrader and M. Taylor, The generalized Legendre transform and its applications to inverse spectral problems, Monodromy in the quantum spherical pendulum, Reduced Gutzwiller formula with symmetry: case of a Lie group, Semiclassical spectra of gauge fields, Spectral theory of the frame flow on hyperbolic 3-manifolds, Trace formula for the magnetic Laplacian, Maximally degenerate Laplacians, Semiclassical spectral estimates for Toeplitz operators, Unnamed Item, A semiclassical approach to the Dirac equation, Semiclassical principal symbols and Gutzwiller's trace formula, A semi-classical trace formula for Schrödinger operators, A semi-classical trace formula for several commuting operators
Cites Work
- Unnamed Item
- Unnamed Item
- Homogeneous quantization and multiplicities of group representations
- Clustering theorems with twisted spectra
- Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques
- Sur le spectre des opérateurs elliptiques à bicaracteristiques toutes périodiques
- Band asymptotics in two dimensions
- The spectrum of positive elliptic operators and periodic bicharacteristics
- On the Morse index in variational calculus
- \(G\)-spaces, the asymptotic splitting of \(L2(M)\) into irreducibles
- Asymptotics of eigenvalue clusters for the Laplacian plus a potential
- A universal phase space for particles in Yang-Mills fields
- Spectre conjoint d'opérateurs pseudo-différentiels qui commutent. I: Le cas non intégrable
- Formule de Poisson pour les variétés riemanniennes
- The trace formula for vector bundles
- Etude Du Spectre Pour Un Operateur Globalement Elliptique Dont Le Symbole de Weyl Presente des Symetries: 1. Action des Groupes Finis
- Etude du Spectre Pour un Operateur Globalement Elliptique Dont le Symbole de Weyl Presente des Symetries II. Action Des Groupes de Lie Compacts
- Reduction, the trace formula, and semiclassical asymptotics
- Spectre D'Un hamiltonien quantique et mecanique classique
- Minimal coupling and the symplectic mechanics of a classical particle in the presence of a Yang-Mills field