Skip to main content
Log in

A complex Tauberian theorem and mean ergodic semigroups

  • Research Article
  • Published:
Semigroup Forum 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. Arendt, W. and C. J. K. Batty, Tauberian theorems and stability of one-parameter semigroups, Trans. Amer. Math. Soc.306 (1988), 837–852.

    Article  MATH  MathSciNet  Google Scholar 

  2. Arendt, W. and J. Prüss, Vector-valued Tauberian theorems and asymptotic behavior of Volterra equations, SIAM J. Math.23 (1992), 412–448.

    Article  MATH  Google Scholar 

  3. Batty, C. J. K.Tauberian theorems for the Laplace Stieltjes transform, Trans. Amer. Math. Soc.322 (1990), 783–804.

    Article  MATH  MathSciNet  Google Scholar 

  4. Batty, C. J. K. and Vũ Quôc Phóng,Stability of individual elements of one-parameter semigroups, Trans. Amer. Math. Soc.322 (1990), 805–818.

    Article  MATH  MathSciNet  Google Scholar 

  5. Ingham, A. E.On Wiener's method in Tauberian theorems, Proc. London Math. Soc. (2)38 (1933), 458–480.

    Google Scholar 

  6. Korevaar, J.On Newman's quick way to the prime number theorem, Math. Intelligencer4 (1982), 108–115.

    Article  MATH  MathSciNet  Google Scholar 

  7. Krengel, U.. Ergodic Theorems, de Gruyter, Berlin 1985.

    MATH  Google Scholar 

  8. Nagel, R. One-parameter Semigroups of Positive Operators, Lecture Notes Math.1184, Springer-Verlag 1986.

  9. Nagel, R.,Towards a “matrix theory” for unbounded operator matrices, Math. Z.201 (1989), 57–68.

    Article  MATH  MathSciNet  Google Scholar 

  10. Vũ Quôc Phóng,The operator equation AX−XB=C with unbounded operators A and B and related abstract Cauchy problems, Math. Z.208 (1991), 567–588.

    Article  MathSciNet  Google Scholar 

  11. Widder, D. V., An Introduction to Transform Theory, Academic Press. New York 1971.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Rainer Nagel

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arendt, W., Batty, C.J.K. A complex Tauberian theorem and mean ergodic semigroups. Semigroup Forum 50, 351–366 (1995). https://doi.org/10.1007/BF02573531

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02573531

Keywords

Navigation