Skip to main content
Log in

Eigenfunction expansions for partially hypoelliptic operators

  • Published:
Arkiv för Matematik

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bergendal, G., Convergence and summability of eigenfunction expansions connected with elliptic differential operators.Medd. Lunds Univ. Mat. Sem. 15 (1959).

  2. Gårding, L. &Malgrange, B., Opérateurs différentiels partiellement hypoelliptiques et partiellement elliptiques.Math. Scand. 9 (1961), 5–21.

    MATH  MathSciNet  Google Scholar 

  3. Hörmander, L., On interior regularity of the solutions of partial differential equations.Comm. Pure Appl. Math. 11 (1958), 197–218.

    Article  MATH  MathSciNet  Google Scholar 

  4. —,Linear partial differential operators. Springer, Berlin, 1963.

    MATH  Google Scholar 

  5. Keldyš, M. V., On a Tauberian theorem.Trudy Mat. Inst. Steklov 38 (1951), 77–86.

    Google Scholar 

  6. Nilsson, N., Essential self-adjointness and the spectral resolution of Hamiltonian operators.Kungl. Fysiogr. Sällsk. i Lund Förh. 29 (1959), 1–19.

    MathSciNet  Google Scholar 

  7. —, Some estimates for eigenfunction expansions and spectral functions corresponding to elliptic differential operators.Math. Scand. 9 (1961), 107–121.

    MATH  MathSciNet  Google Scholar 

  8. —, Asymptotic estimates for spectral functions connected with hypoelliptic differential operators.Ark. Mat. 5 (1965), 527–540.

    Article  MATH  MathSciNet  Google Scholar 

  9. Selander, T., Bilateral Tauberian theorems of Keldyš type.Ark. Mat. 5 (1963), 85–96.

    Article  MATH  MathSciNet  Google Scholar 

  10. Sz-Nagy, B.,Spektraldarstellung linearer Transformationen des Hilbertschen Raumes. Springer, Berlin, 1942.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Böiers, LC. Eigenfunction expansions for partially hypoelliptic operators. Ark. Mat. 10, 79–98 (1972). https://doi.org/10.1007/BF02384803

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02384803

Keywords

Navigation