Skip to main content

The eigenvalues of hypoelliptic operators

Part of the Lecture Notes in Mathematics book series (LNM,volume 660)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. AGMON and Y. KANNAI. On the asymptotic behavior of the spectral functions and resolvent kernels of elliptic operators. Israel J. Math. 5 (1967) 1–30.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. C. BOLLEY, J. CAMUS and T. PHAM. In this volume.

    Google Scholar 

  3. L. BOUTET de MONVEL and F. TREVES. On a classe of pseudo-differential operators with double characteristics. Invent. Math. 24 (1974) 1–34.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. L. HÖRMANDER. The spectral function of an elliptic operator. Acta Math. 121 (1968) 193–218.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. A. MELIN. Lower bounds for pseudo-differential operators. Ark. Mat. 9 (1971) 117–140.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. A. MELIN and J. SJÖSTRAND. Fourier integral operators with complex-valued phase functions. Springer L.N. 459, 255–282.

    Google Scholar 

  7. G. METIVIER. Fonction spectrale et valeurs propres d'une classe d'opérateurs non elliptiques. Comm. PDE 1 (1976) 467–519.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. R. SEELEY. Complex powers of an elliptic operator. AMS Proc. Symp. in Pure Math. 10 (1967) 288–307.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. J. SJÖSTRAND. Parametrices for pseudodifferential operators with multiple characteristics. Ark. Mat. 12 (1974) 85–130.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Menikoff, A., Sjöstrand, J. (1978). The eigenvalues of hypoelliptic operators. In: Pham The Lai (eds) Equations aux Dérivées Partielles. Lecture Notes in Mathematics, vol 660. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082301

Download citation

  • DOI: https://doi.org/10.1007/BFb0082301

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08913-1

  • Online ISBN: 978-3-540-35764-3

  • eBook Packages: Springer Book Archive