Skip to main content
Log in

Spectral representation of local semigroups

  • Published:
Mathematische Annalen 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.

Institutional subscriptions

References

  1. Bochner, S.: A theorem on Fourier-Stieltjes integrals. Bull. Am. Math. Soc.40, 271–276 (1934)

    Google Scholar 

  2. Dunford, N., Schwartz, J.T.: Linear operators, Part III, Spectral operators. New York: Wiley-Interscience 1971

    Google Scholar 

  3. Friedman, A.: Generalized functions and partial differential equations. Englewood Cliffs: Prentice-Hall 1963

    Google Scholar 

  4. Hille, E., Phillips, R.S.: Functional analysis and semigroups. Rev. ed. Amer. Math. Soc. Colloq. Publ., Vol. 31. Providence: Amer. Math. Soc. 1957

    Google Scholar 

  5. Hughes, R.: Semigroups of unbounded linear operators in Banach space. Trans. Am. Math. Soc.230, 113–145 (1977)

    Google Scholar 

  6. Kantorovitz, S.: Characterization of unbounded spectral operators with spectrum in a half-line. Comm. Math. Helv.56, 163–178 (1981)

    Google Scholar 

  7. Kantorovitz, S.: Spectrality criteria for unbounded operators with real spectrum. Math. Ann.256, 19–28 (1981)

    Google Scholar 

  8. Klein, A., Landau, L.: Construction of a unique self-adjoint generator for a symmetric local semigroup. J. Funct. Analysis. (in press)

  9. Nussbaum, A.E.: Spectral representation of certain one-parametric families of symmetric operators in Hilbert space. Trans. Amer. Math. Soc.152, 419–429 (1970)

    Google Scholar 

  10. Widder, D.V.: The Laplace transform. Princeton: Princeton University Press 1941

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported by National Science Foundation

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kantorovitz, S., Hughes, R.J. Spectral representation of local semigroups. Math. Ann. 259, 455–470 (1982). https://doi.org/10.1007/BF01466052

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01466052

Keywords

Navigation