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Calcul fonctionnel sur les opérateurs admissibles et application. (French) Zbl 0482.35069


MSC:

35P20 Asymptotic distributions of eigenvalues in context of PDEs
35S05 Pseudodifferential operators as generalizations of partial differential operators
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References:

[1] Asada, K.; Fujiwara, D., On some oscillatory integral transformation in \(L^2}(R^n )\), Japan J. Math., 4, 299-361 (1978) · Zbl 0402.44008
[2] Beals, R., A general calculus of pseudodifferential operators, Duke Math. J., 42, 1-42 (1975) · Zbl 0343.35078
[3] Chazarain, J., Spectre d’un hamiltonien quantique et mécanique classique, Comm. Partial Differential Equations, 5, N∘ 6, 595-644 (1980) · Zbl 0437.70014
[4] Guillemin, V.; Sternberg, S., Geometric Asymptotics, (Mathematical Surveys, Vol. 14 (1977), Amer. Math. Soc: Amer. Math. Soc Providence, R. I) · Zbl 0503.58018
[5] Grammaticos, B.; Voros, A., Semi-classical approximations of nuclear hamiltonians. I. Spin independent potentials, Ann. Physics, 123, 359-380 (1979)
[7] Helffer, B.; Robert, D., Comportement semi-classique du spectre, des hamiltoniens quantiques hypoelliptiques (Novembre 1980), prépublication de l’Université de Nantes
[8] Hörmander, L., The Weyl calculus of pseudodifferential operators, Comm. Pure Appl. Math., 32, 359-443 (1979) · Zbl 0388.47032
[9] Hörmander, L., On the asymptotic distribution of eigenvalues of pseudodifferential operators in \(R^n\), Ark. Mat., 17, N∘ 2, 296-313 (1979) · Zbl 0436.35064
[10] Strichartz, R. S., A functional calculus for elliptic pseudodifferential operators, Amer. J. of Math., 94, 711-722 (1972) · Zbl 0246.35082
[11] Subin, M. A., Pseudodifferential Operators and Spectral Theory (1978), Nauka: Nauka Moskva
[12] Voros, A., An algebra of pseudodifferential operators and the asymptotics of quantum mechanics, J. Funct. Anal., 29, 104-132 (1978) · Zbl 0386.47031
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