Skip to main content

Nombre de valeurs propres d'un opérateur elliptique et polynôme de Hilbert-Samuel [d'après V. Guillemin]

  • Conference paper
  • First Online:
Séminaire Bourbaki vol. 1978/79 Exposés 525 – 542

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 770))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. M. F. ATIYAH and I. M. SINGER-The index of elliptic operators I, Ann. Math. 87(1968), 484–530.

    Article  MATH  MathSciNet  Google Scholar 

  2. L. BOUTET DE MONVEL-On the index of Toeplitz operators of several complex variables, Invent. Math., à paraître.

    Google Scholar 

  3. L. BOUTET DE MONVEL and V. GUILLEMIN-The spectral theory of Toeplitz operators, à paraître.

    Google Scholar 

  4. L. BOUTET de MONVEL et J. SJÖSTRAND-Sur la singularité des noyaux de Bergmann et de Szegö, Astérisque 34–35(1976), 123–164.

    Google Scholar 

  5. Y. COLIN DE VERDIÈRE-Sur le spectre des opérateurs elliptiques à bicaractéristiques toutes périodiques, à paraître

    Google Scholar 

  6. J. J. DUISTERMAAT and V. GUILLEMIN-The spectrum of positive elliptic operators and periodic geodesics, Invent. Math., 29(1975), 184–269.

    Article  MathSciNet  Google Scholar 

  7. A. MELIN and J. SJÖSTRAND-Fourier integral operators with complex valued phase functions-dans "Fourier integral operators and Partial Differential Equations", Lecture Notes in Math., no 459, 120–223, Springer-Verlag.

    Google Scholar 

  8. A. WEIL-Variétés Kählériennes, Hermann, Paris (1958).

    MATH  Google Scholar 

  9. A. WEINSTEIN-Asymptotics of eigenvalue clusters for the Laplacian plus a potential, Duke Math. J., 44(1977), 883–892.

    Article  MATH  MathSciNet  Google Scholar 

  10. A. WEINSTEIN-Lectures on symplectic manifolds, Regional conference series in Math., no 29 (1977).

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1980 N. Bourbaki

About this paper

Cite this paper

Boutet de Monvel, L. (1980). Nombre de valeurs propres d'un opérateur elliptique et polynôme de Hilbert-Samuel [d'après V. Guillemin]. In: Séminaire Bourbaki vol. 1978/79 Exposés 525 – 542. Lecture Notes in Mathematics, vol 770. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0096239

Download citation

  • DOI: https://doi.org/10.1007/BFb0096239

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09733-4

  • Online ISBN: 978-3-540-38547-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics