Skip to main content
Log in

Aψ * algebra of pseudodifferential operators on noncompact manifolds

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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.

References

  1. R. Beals, Characterization of pseudodifferential operators and applications. Duke Math. J.44, 45–57 (1977) and46, 215 (1979).

    Google Scholar 

  2. B. Blackadar,K-theory for operator algebras. MSRI Publications, Berlin-Heidelberg-New York-London-Paris-Tokyo 1986.

    Google Scholar 

  3. O.Bratteli, Derivations, dissipations and group actions onC * algebras. LNM1229, Berlin-Heidelberg-New York 1986.

  4. R. R.Coifman and Y.Meyer, Au delà des opérateurs pseudo-différentiels. Soc. Math. de France, Astérisque57 (1978).

  5. A. Connes,C *-algèbres et géometrie différentielle. C.R. Acad. Sci. Paris Sér. A290, 599–604 (1980).

    Google Scholar 

  6. H. O. Cordes, On someC *-algebras and Fréchet-algebras of pseudodifferential operators. AMS Proc. Symp. Pure Math.43, 79–104 (1985).

    Google Scholar 

  7. H. O. Cordes, On pseudo-differential operators and smoothness of special Lie-group representations. Manuscripta Math.28, 51–69 (1979).

    Google Scholar 

  8. H. O.Cordes, A global parametrix for pseudodifferential operators over ℝn with applications. SFB 72 Preprints, Bonn 1976.

  9. H. O.Cordes, Spectral theory of linear differential operators and comparison algebras. London Math. Soc. LN76, Cambridge 1987.

  10. H. O.Cordes and S. H.Doong, The Laplace comparison algebra of spaces with conical and cylindrical ends. In: Pseudo-Differential Operators. LNM1256, Berlin-Heidelberg-New York 1987.

  11. H. O. Cordes andE. Schrohe, On the symbol homomorphism of a certain algebra of singular integral operators. Integral Equations Operator Theory8, 641–649 (1985).

    Google Scholar 

  12. B. Gramsch, Relative Inversion in der Störungstheorie von Operatoren undψ-Algebren. Math. Ann.269, 27–71 (1984).

    Google Scholar 

  13. B.Gramsch and K. G.Kalb, Pseudo-locality and hypoellipticity in operator algebras. Semesterberichte Funktionalanalysis, 51–61, Tübingen 1985.

  14. E.Schrohe, Komplexe Potenzen elliptischer Pseudodifferentialoperatoren. Dissertation, Mainz 1986.

  15. E. Schrohe, Complex powers of elliptic pseudodifferential operators. Integral Equations Operator Theory9, 337–354 (1986).

    Google Scholar 

  16. E. Schrohe, The symbols of an algebra of pseudodifferential operators. Pacific J. Math.125, 211–224 (1986).

    Google Scholar 

  17. E.Schrohe, Spaces of weighted symbols and weighted Sobolev spaces on manifolds. In: Pseudo-Differential Operators. LNM1256, Berlin-Heidelberg-New York 1987.

  18. M. Taylor, Pseudodifferential operators. Princeton, New Jersey 1981.

    Google Scholar 

  19. L.Waelbroek, Topological vector spaces and algebras. LNM230, Berlin-Heideiberg-New York 1971.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schrohe, E. Aψ * algebra of pseudodifferential operators on noncompact manifolds. Arch. Math 51, 81–86 (1988). https://doi.org/10.1007/BF01194158

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01194158

Keywords

Navigation