Guillemin, Victor Some classical theorems in spectral theory revisited. (English) Zbl 0452.35093 Seminar on singularities of solutions of linear partial differential equations, Inst. Adv. Study, Princeton 1977-78, Ann. Math. Stud. 91, 219-259 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 9 Documents MSC: 35P20 Asymptotic distributions of eigenvalues in context of PDEs 35A20 Analyticity in context of PDEs Keywords:Riemannian manifold with boundary; Laplace-Beltrami operator; spectral function; Shapiro-Lopatinskij condition; generalized bicharacteristics; Szegö-type theorems; spectral theory of Toeplitz operators; Weyl-type theorems; number theory; spectral theory; complex analysis; asymptotics; number of eigenvalues; Dirichlet problem; Laplacian; boundary-less differential manifolds; positive self-adjoint elliptic operators Citations:Zbl 0382.35043; Zbl 0428.35037; Zbl 0435.35059; Zbl 0398.00008 PDF BibTeX XML OpenURL