Guillemin, Victor Lectures on spectral theory of elliptic operators. (English) Zbl 0447.58033 Duke Math. J. 44, 485-517 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 13 Documents MSC: 58J50 Spectral problems; spectral geometry; scattering theory on manifolds 58J10 Differential complexes 53D50 Geometric quantization 70H99 Hamiltonian and Lagrangian mechanics 58J40 Pseudodifferential and Fourier integral operators on manifolds 37G99 Local and nonlocal bifurcation theory for dynamical systems 22E46 Semisimple Lie groups and their representations 43A80 Analysis on other specific Lie groups Keywords:periods of the Hamiltonian vector field associated to the symbol; eigenvalues of an elliptic operator; positive self-adjoint elliptic (pseudo) differential operator; trace formula for the generating function; Egorov’s theorem; symplectic manifolds; Selberg trace formula; unitary representations of SL(2,R) Citations:Zbl 0307.35071 PDFBibTeX XMLCite \textit{V. Guillemin}, Duke Math. J. 44, 485--517 (1977; Zbl 0447.58033) Full Text: DOI