Skip to main content
SpringerLink
Log in

Harmonic analysis onn-dimensional vector spaces over local fields

II. Generalized Gauss kernels and the Littlewood-Paley function

  • 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

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Edwards, R. E., Hewitt, E.: Pointwise limits for sequence of convolution operators. Acta Math.113, 181–218 (1965).

    Google Scholar 

  2. Phillips, K., Taibleson, M. H.: Singular integrals in several variables over a local field. Pacific J. Math.30, 209–231 (1969).

    Google Scholar 

  3. Sally, P. J., Taibleson, M. H.: Special functions on locally compact fields. Acta Math.116, 279–309 (1966).

    Google Scholar 

  4. Stein, E. M.: On the functions of Littlewood-Paley, Lusin and Marcinkiewicz. Trans. Amer. Math. Soc.88, 430–466 (1958).

    Google Scholar 

  5. Taibleson, M. H.: On the theory of Lipschitz spaces of distributions on Euclideann-space. J. Math. Mech.13, 407–479 (1964).

    Google Scholar 

  6. —— Harmonic analysis onn-dimensional vector spaces over local fields, I. Fractional Integration. Math. Ann.176, 191–207 (1968).

    Google Scholar 

  7. Zygmund, A.: Trigonometrical series. Vol. I–II, 2nd ed., Cambridge 1959.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Washington University, 63130, St. Louis, Missouri, USA

    Mitchell H. Taibleson

Authors
  1. Mitchell H. Taibleson
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Taibleson, M.H. Harmonic analysis onn-dimensional vector spaces over local fields. Math. Ann. 186, 1–19 (1970). https://doi.org/10.1007/BF01350636

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01350636

Keywords

Search

Navigation