Hörmander, Lars On the asymptotic distribution of the eigenvalues of pseudodifferential operators in \(R^n\). (English) Zbl 0436.35064 Ark. Mat. 17, 297-313 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 ReviewsCited in 41 Documents MSC: 35P20 Asymptotic distributions of eigenvalues in context of PDEs 35S05 Pseudodifferential operators as generalizations of partial differential operators 47Gxx Integral, integro-differential, and pseudodifferential operators Keywords:asymptotic behavior of the eigenvalues; pseudo-differential operator; pseudo-differential approximation; spectral projection; Weyl calculus; Fourier integral operators Citations:Zbl 0388.47032; Zbl 0286.35059 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Gårding, L., On the asymptotic distribution of the eigenvalues and eigenfunctions of elliptic differential operators, Math. Scand., 1, 237-255 (1953) · Zbl 0053.39102 [2] Hörmander, L., The Weyl calculus of pseudo-differential operators, Comm. Pure Appl. Math., 32, 359-443 (1979) · Zbl 0388.47032 · doi:10.1002/cpa.3160320304 [3] Robert, D., Propriétés spectrales d’opérateurs pseudo-différentiels, Comm. in partial diff. eq., 3, 755-826 (1978) · Zbl 0392.35056 · doi:10.1080/03605307808820077 [4] Šubin, M. A., Pseudo-differential operators and spectral theory (1978), Moskva: Nauka, Moskva · Zbl 0451.47064 [5] Tulovskii, V. N.; Šubin, M. A., On the asymptotic distribution of eigenvalues of pseudodifferential operators inR^n, Mat. Sbornik, 92, 134, 571-588 (1973) · Zbl 0286.35059 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.