The metaplectic representation, Weyl operators and spectral theory

Abraham, 1967 Bacry, 1966, The de Sitter group and the bound states of the hydrogen atom, Nuovo Cimento, 41, 222, 10.1007/BF02754534 de Monvel, 1978 L. Boutet de Monvel and V. Guillemin, The spectral theory of Toeplitz operators, to appear. Chazarain, 1974, Formule de Poisson pour les variétés riemanniennes, Invent. Math., 24, 65, 10.1007/BF01418788 J. Chazarain, Comportement semi-classique du spectre d'un Hamiltonien quantique, to appear. de Verdiére, 1974, Spectre du loplacien et longueurs des geodesiques periodiques, Comp. Math., 27, 159 de Verdiére, 1979, Sur le spectre des operateurs elliptiques a bicharacteristiques toutes periodiques, Comment. Math. Helv., 54, 508, 10.1007/BF02566290 Courant, 1924 Duistermaat, 1975, The spectrum of positive elliptic operators and periodic geodesics, Invent. Math., 29, 184, 10.1007/BF01405172 Duistermaat, 1972, Fourier Integral Operators II, Acta Math., 128, 183, 10.1007/BF02392165 Golubitsky, 1973 Guillemin, 1978, Geometric Asymptotics Guillemin, 1979, Some problems in integral geometry and some related problems in microlocal analysis, Amer. Math. J., 101, 915, 10.2307/2373923 Helton, 1977, An operator-theoretic approach to partial differential equations, propagation of singularities and spectral theory, Indiana U. Math. J., 26, 997, 10.1512/iumj.1977.26.26081 Hörmander, 1965, Pseudo-differential operators, Comm. Pure Appl. Math., 18, 501, 10.1002/cpa.3160180307 Hörmander, 1968, The spectral function of an elliptic operator, Acta Math., 121, 193, 10.1007/BF02391913 Hörmander, 1971, Fourier integral operators, I, Acta Math., 127, 79, 10.1007/BF02392052 Hörmander, 1979, The Weyl calculus of pseudo-differential operators, Comm. Pure Appl. Math., 32, 359, 10.1002/cpa.3160320304 Jacobson, 1965 M. Kashiwara, to appear. Kashiwara, 1979, Functions on the Shilov boundary of the generalized half-plane Kashiwara, 1973, Microfunctions and Pseudodifferential Equations Konstant, 1970, Quantization and unitary representations, 87 Kostant, 1973, Symplectic spinors B. Kostant, Verma modules and the existence of quasi-invariant differential operators, mimeographed notes. Mackey, 1976 Moser, 1970, Regularization of Kepler's problem and the averaging method on a manifold, Comm. Pure Appl. Math., 23, 609, 10.1002/cpa.3160230406 Onofri, 1965 Schwartz, 1975, Smooth functions invariant under the action of a compact group, Topology, 14, 63, 10.1016/0040-9383(75)90036-1 Shale, 1962, Linear symmetries of free boson fields, Trans. Amer. Math. Soc., 103, 149, 10.1090/S0002-9947-1962-0137504-6 Shubin, 1973, On asymptotic distribution of eigenvalues of pseudodifferential operators on Rn, Math. USSR Sb., 21, 565, 10.1070/SM1973v021n04ABEH002036 Taylor, 1974, Pseudo Differential Operators Titchmarsh, 1958 Voros, 1976, An Algebra of Pseudo-Differential Operators and the Asymptotic of Quantum Mechanics, Mimeographed report Wallach, 1977 Weil, 1964, Sur certaines groupes d'operateurs unitaires, Acta Math., 111, 143, 10.1007/BF02391012 Weinstein, 1977, Asymptotic of eigenvalue clusters for the Laplacian plus a potential, Duke Math. J., 44, 883, 10.1215/S0012-7094-77-04442-8 Weyl, 1928 Weyl, 1956 Whittaker, 1935 Widom, 1979, Eigenvalue distribution theorems in certain homogeneous spaces, J. Funct. Anal., 32, 139, 10.1016/0022-1236(79)90051-X