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The eigenvalues of hypoelliptic operators

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Book cover Equations aux Dérivées Partielles

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

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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.

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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Pham The Lai

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© 1978 Springer-Verlag

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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

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

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  • Print ISBN: 978-3-540-08913-1

  • Online ISBN: 978-3-540-35764-3

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