Lectures on spectral theory of elliptic operators

DOI10.1215/S0012-7094-77-04422-2zbMath0447.58033MaRDI QIDQ5904568

Victor W. Guillemin

Publication date: 1977

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

symplectic manifoldsSelberg trace formulaEgorov's theoremeigenvalues of an elliptic operatorperiods of the Hamiltonian vector field associated to the symbolpositive self-adjoint elliptic (pseudo) differential operatortrace formula for the generating functionunitary representations of SL(2,R)

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Semisimple Lie groups and their representations (22E46) Pseudodifferential and Fourier integral operators on manifolds (58J40) Differential complexes (58J10) Analysis on other specific Lie groups (43A80) Geometric quantization (53D50) Local and nonlocal bifurcation theory for dynamical systems (37G99) Hamiltonian and Lagrangian mechanics (70H99)

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