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Quasi-modes sur les varietes Riemanniennes

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Bibliographie

  • A1 Arnold, V.I.: Modes and quasi-modes. Functional Analysis and its applications6, 94–101 (1972)

    Google Scholar 

  • AA Arnold, V.I., Avez, A.: Ergodic problems of classical mechanics. New-York-Amsterdam: Benjamin 1967

    Google Scholar 

  • A2 Arnold, V.I.: On a caracteristic class entering in the quantization conditions. Functional Analysis and its applications1, 1–13 (1967)

    Google Scholar 

  • BGM Berger, M., Gauduchon, P., Mazet, E.: Le spectre d'une variété riemannienne. Lectures Notes 194. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

  • CA Cassels, J.W.S.: An Introduction to diophantine approximation. Cambridge: Cambridge University Press 1965

    Google Scholar 

  • CV Colin de Verdiere, Y.: Spectre du laplacien et longueurs des géodésiques fermées II. Compositio mathematica,27, 159–184 (1973)

    Google Scholar 

  • D Duistermaat, J.J.: Oscillatory integrals, Lagrange immersions, and unfolding of singularities. Comm. Pure and Appl. Math.,27, 207–281 (1974)

    Google Scholar 

  • D.G Duistermaat, J.J., Guillemin, V.: The spectrum of positiv elliptic operators and periodic geodesics. Invent. Math.29, 39–79 (1975)

    Google Scholar 

  • D.H. Duistermaat, J.J., Hörmander, L.: Fourier integral operators II. Acta Math.128, 183–269 (1972)

    Google Scholar 

  • G Guillemin, V.: Symplectic Spinors and partial differential equations. Colloque international de géométrie symplectique et physique mathématique. Aix (Juin 1974), C.N.R.S.

  • H1 Hörmander, L.: Fourier integral operators I. Acta Math.127, 79–183 (1971)

    Google Scholar 

  • H2 Hörmander, L.: The spectral function of an elliptic operator. Acta Math.121, 193–218 (1968)

    Google Scholar 

  • K Klingenberg, W.: Der Indexsatz für geschlossene Geodätische. Math. Zeit.139, 231–256 (1974)

    Google Scholar 

  • L1 Lazutkin, V.F.: The existence of caustics for a billiard problem in a convex domain. Math. USSR Izvestija7, 185–214 (1973)

    Google Scholar 

  • L2 Lazutkin, V.F.: Asymptotics of the eigenvalues of the laplacian and quasi-modes ... Math. USSR Izvestija7, 439–466 (1973)

    Google Scholar 

  • RL Randol, B.: A lattice-point problem. Trans. Amer. Math. Soc.121, 257–268 (1966)

    Google Scholar 

  • R Ralston, J.V.: Construction of approximate eigenfunctions ... Preprint (1975)

  • S Moser, J.K., Siegel, C.L.: Lectures on Celestial mechanics. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

  • SU Souriau, J.M.: Indice de Maslov des variétés lagrangiennes orientables, comptes-rendus de l'Académie des sciences de Paris276A, 1025–1026 (1973)

    Google Scholar 

  • V Voros, A.: The WKB-method for non-separable systems. Colloque international de géométrie symplectique et physique mathématique. Aix (Juin 1974), C.N.R.S.

  • V de C van der Corput, J.G.: Over roosterpunten in het platte vlak. Groningen: Noordhoff 1919

    Google Scholar 

  • W1 Weinstein, A.: Fourier integral operators, quantization and the spectra of riemannian manifold; colloque international de géométrie symplectique et physique mathématique. Aix (Juin 1974), C.N.R.S.

  • W2 Weinstein, A.: Symplectic manifolds and their lagrangian submanifolds. Advances in Math.6, 329–346 (1971)

    Google Scholar 

  • B.L Babich, Lazutkin, V.F.: On eigenfunctions concentrated at a closed geodesic; problems in Math. Phys. N 2, Leningrad Unversity, 1967

  • B. Babich: On eigenfunctions concentrated at a closed geodesic; Zapiski Nauchnyck Seminarov Lomi, N 9, Leningrad (1968) (Englisch translation: Math. Problems in Wawe propagation theory, Consultant Bureau, New York-London, 1970)

  • B.B. Babich, Bouldyrev: Asymptotical methods in the theory of short waves deffractions. Moscow Nauka (1972)

    Google Scholar 

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de Verdiere, Y.C. Quasi-modes sur les varietes Riemanniennes. Invent Math 43, 15–52 (1977). https://doi.org/10.1007/BF01390202

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  • DOI: https://doi.org/10.1007/BF01390202

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