Skip to main content

On the laplace comparison algebras for L2(ℝn)

  • 340 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 756)

Keywords

  • Compact Operator
  • Singular Integral Operator
  • Continuous Extension
  • Finite Rank
  • Norm Convergence

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
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. H.O. Cordes, Banach algebras, singular integral operators and partial differential equations; Lecture Notes, Lund (1971)

    Google Scholar 

  2. —, A global parametrix for pseudo-differential operators over ℝn, with Applications. Bonner Mathematische Schriften (No. 90, SFB 72 (1976)).

    Google Scholar 

  3. —, and E. Herman, Gelfand theory of pseudo-differential operators. Amer.J.Math. 90 (1968) 681–717.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. — and R.C. Mc. Owen, The C*-algebra of a singular elliptic problem on a non-compact Riemannian manifold, Math. Zeitschrift 153, 101–116 (1977).

    CrossRef  MathSciNet  Google Scholar 

  5. — —, Remarks on singular elliptic theory for complete Riemannian manifolds; Pacific J. Math. 77 (1977).

    Google Scholar 

  6. P. Dirac, Principles of Quantum Mechanics; Oxford 1949.

    Google Scholar 

  7. J. Dixmier, Les C*-algèbres et leurs representations; Gauthier Villars, Paris (1964).

    MATH  Google Scholar 

  8. R.E. Edwards, Functional analysis, theory and applications; Holt Rinehart and Winston, New York 1965.

    MATH  Google Scholar 

  9. L. Garding, Dirichlet's problem for linear elliptic partial differential operators. Math.Scand. 1, 55–72 (1953).

    MathSciNet  Google Scholar 

  10. E. Herman, The symbol of the algebra of singular integral operators; Journ.Math.Mech. 15 (1966) 147–156.

    MathSciNet  MATH  Google Scholar 

  11. D. Hilbert, Grundzüge einer allgemeinen Theorie der Linearen Integralgleichungen; Chelsea Publ.Comp. New York, N.Y. 1953.

    MATH  Google Scholar 

  12. F. Riesz, Über Lineare Funktionalgleichungen; Acta Math. 41 (1918) 71–98.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. C.E. Rickart, General theory of Banach algebras; van Nostrand, Princeton 1960.

    MATH  Google Scholar 

  14. M. Taylor, Gelfand theory of pseudo-differential operators and hypoelliptic operators. Trans.Amer.Math.Soc. 153, 495–510 (1971)

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1979 Springer-Verlag

About this chapter

Cite this chapter

Cordes, H.O. (1979). On the laplace comparison algebras for L2(ℝn). In: Elliptic Pseudo-Differential Operators — An Abstract Theory. Lecture Notes in Mathematics, vol 756. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069817

Download citation

  • DOI: https://doi.org/10.1007/BFb0069817

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09704-4

  • Online ISBN: 978-3-540-38463-2

  • eBook Packages: Springer Book Archive